## Colli, Pierluigi

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 Author ID: colli.pierluigi Published as: Colli, Pierluigi; Colli, P. Homepage: http://www-dimat.unipv.it/pier/ External Links: MGP · ORCID · arXiv · ResearchGate · dblp
 Documents Indexed: 191 Publications since 1983 6 Contributions as Editor Co-Authors: 70 Co-Authors with 180 Joint Publications 1,451 Co-Co-Authors
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### Co-Authors

 17 single-authored 71 Gilardi, Gianni 62 Sprekels, Jürgen 28 Grasselli, Maurizio 17 Rocca, Elisabetta 16 Bonetti, Elena 11 Marinoschi, Gabriela 8 Frémond, Michel 8 Fukao, Takeshi 8 Guidugli, Paolo Podio 8 Laurençot, Philippe 7 Schimperna, Giulio 6 Krejčí, Pavel 5 Scarpa, Luca 5 Signori, Andrea 5 Visintin, Augusto 4 Barbu, Viorel 4 Fabrizio, Mauro 4 Rodrigues, José Francisco 4 Shirakawa, Ken 4 Tomassetti, Giuseppe 3 Aizicovici, Sergiu 3 Favini, Angelo 3 Kenmochi, Nobuyuki 3 Naldi, Giovanni 2 Allain, Geneviève 2 Canevari, Giacomo 2 Colturato, Michele 2 Comincioli, Valeriano 2 Farshbaf-Shaker, Mohammad Hassan 2 Hilhorst, Danielle 2 Kurima, Shunsuke 2 Lorenzo, Guillermo 2 Luterotti, Fabio 2 Reali, Alessandro 2 Savaré, Giuseppe 2 Stefanelli, Ulisse 2 Verdi, Claudio 1 Bernardi, Marco Luigi 1 Bonfanti, Giovanna 1 Calatroni, Luca 1 Chiusano, L. 1 Damlamian, Alain 1 Dreyer, Wolfgang 1 Frigeri, Sergio 1 Gentili, Giorgio 1 Gervasio, Paola 1 Gilioli, Gianni 1 Giorgi, Claudio 1 Hassan Farshbaf-Shaker, M. 1 Hoffmann, Karl-Heinz 1 Hömberg, Dietmar 1 Issard-Roch, Françoise 1 Ito, Akio 1 Klein, Olaf 1 Kubo, Masahiro 1 Lam, Kei Fong 1 Manini, Davide 1 Mimura, Masayasu 1 Munteanu, Ionut 1 Nakayashiki, Ryota 1 Novick-Cohen, Amy 1 Oswald, Luc 1 Plotnikov, Pavel I. 1 Podio-Guidugli, Paulo 1 Recupero, Vincenzo 1 Reggiani, Carlo 1 Segatti, Antonio 1 Sperandio, Giorgio 1 Torelli, Alessandro 1 Yamazaki, Noriaki
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### Serials

 9 Applied Mathematics and Optimization 8 Journal of Differential Equations 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal of Mathematical Analysis and Applications 7 Asymptotic Analysis 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Advances in Mathematical Sciences and Applications 6 Discrete and Continuous Dynamical Systems 4 Mathematical Methods in the Applied Sciences 4 SIAM Journal on Control and Optimization 4 Differential and Integral Equations 4 SIAM Journal on Mathematical Analysis 4 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Optimization Theory and Applications 3 Continuum Mechanics and Thermodynamics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Nonlinear Analysis. Real World Applications 3 Communications on Pure and Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series S 3 Evolution Equations and Control Theory 2 International Journal of Control 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Funkcialaj Ekvacioj. Serio Internacia 2 Numerical Functional Analysis and Optimization 2 Quarterly of Applied Mathematics 2 Advances in Applied Mathematics 2 Physica D 2 Journal of Integral Equations and Applications 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Advances in Differential Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mathematical Control and Related Fields 2 Advances in Nonlinear Analysis 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Nonlinearity 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Calcolo 1 Control and Cybernetics 1 Czechoslovak Mathematical Journal 1 Hiroshima Mathematical Journal 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Chinese Annals of Mathematics. Series B 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Japan Journal of Industrial and Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Mathematical Sciences. University of Tokyo 1 Journal of Convex Analysis 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Communications on Applied Nonlinear Analysis 1 Communications in Applied Analysis 1 RIMS Kokyuroku 1 Interfaces and Free Boundaries 1 Portugaliae Mathematica. Nova Série 1 Milan Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 ISNM. International Series of Numerical Mathematics 1 Lecture Notes in Mathematics 1 Series on Advances in Mathematics for Applied Sciences 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 Springer INdAM Series 1 Journal of Elliptic and Parabolic Equations 1 Bollettino dell’Unione Matematica Italiana 1 AIMS Mathematics
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### Fields

 166 Partial differential equations (35-XX) 71 Classical thermodynamics, heat transfer (80-XX) 55 Mechanics of deformable solids (74-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 27 Integral equations (45-XX) 27 Biology and other natural sciences (92-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Systems theory; control (93-XX) 12 Operator theory (47-XX) 11 Numerical analysis (65-XX) 11 Fluid mechanics (76-XX) 8 Ordinary differential equations (34-XX) 6 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

165 Publications have been cited 1,645 times in 581 Documents Cited by Year
On a class of doubly nonlinear evolution equations. Zbl 0707.34053
Colli, P.; Visintin, A.
1990
Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system. Zbl 1241.35155
Colli, Pierluigi; Frigeri, Sergio; Grasselli, Maurizio
2012
On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2014
Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
On some doubly nonlinear evolution equations in Banach spaces. Zbl 0757.34051
Colli, Pierluigi
1992
A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2015
A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407
Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle
2015
Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions. Zbl 1270.35275
Calatroni, Luca; Colli, Pierluigi
2013
Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials. Zbl 1326.49033
Colli, Pierluigi; Farshbaf-Shaker, M. Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
Cahn-Hilliard equation with dynamic boundary conditions and mass constraint on the boundary. Zbl 1327.35149
Colli, Pierluigi; Fukao, Takeshi
2015
Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials. Zbl 1323.35092
Colli, Pierluigi; Fukao, Takeshi
2015
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2015
Optimal control of an Allen-Cahn equation with singular potentials and dynamic boundary condition. Zbl 1382.74089
Colli, Pierluigi; Sprekels, Jürgen
2015
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Thermo-mechanical evolution of shape memory alloys. Zbl 0693.73003
Colli, Pierluigi; Frémond, Michel; Visintin, Augusto
1990
Nonlinear evolution inclusions arising from phase change models. Zbl 1174.35021
Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
A phase-field model with temperature dependent constraint. Zbl 0980.35074
Colli, Pierluigi; Kenmochi, Nobuyuki; Kubo, Masahiro
2001
Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws. Zbl 0929.35062
Colli, Pierluigi; Laurençot, Philippe
1998
Global existence for a class of generalized systems for irreversible phase changes. Zbl 1004.35061
Colli, Pierluigi; Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2002
Well-posedness of the weak formulation for the phase-field model with memory. Zbl 1023.45501
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2011
The Allen-Cahn equation with dynamic boundary conditions and mass constraints. Zbl 1334.35165
Colli, Pierluigi; Fukao, Takeshi
2015
On a model for phase separation in binary alloys driven by mechanical effects. Zbl 1008.74066
Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen
2002
A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles. Zbl 1309.74054
Colli, Pierluigi; Farshbaf-Shaker, M.; Sprekels, Jürgen
2015
Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems. Zbl 1334.35154
Colli, Pierluigi; Fukao, Takeshi
2016
Global existence for the three-dimensional Frémond model of shape memory alloys. Zbl 0832.35066
Colli, Pierluigi
1995
A nonlinear evolution problem describing multi-component phase changes with dissipation. Zbl 0828.35134
Colli, Pierluigi; Hoffmann, Karl-Heinz
1993
Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2012
Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary condition. Zbl 1335.49036
Colli, Pierluigi; Farshbaf-Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1391.49039
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
A phase field model with thermal memory governed by the entropy balance. Zbl 1053.80009
Bonetti, Elena; Colli, Pierluigi; Fremond, Michel
2003
Global existence for a three-dimensional model for the thermo-mechanical evolution of shape memory alloys. Zbl 0766.35062
Colli, Pierluigi; Sprekels, Jürgen
1992
Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
2000
The conserved phase-field system with memory. Zbl 0982.80006
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Global solution to a singular integro-differential system related to the entropy balance. Zbl 1128.35056
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2007
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162
Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken
2017
On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type. Zbl 0852.35030
Colli, Pierluigi; Sprekels, Jürgen
1995
Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity. Zbl 1123.35309
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2006
Uniqueness and long-time behavior for the conserved phase-field system with memory. Zbl 0981.74012
Colli, Pierluigi; Gilardi, Gianni; Laurençot, Philippe; Novick-Cohen, Amy
1999
From the viscous Cahn-Hilliard equation to a regularized forward-backward parabolic equation. Zbl 1353.35232
Colli, Pierluigi; Scarpa, Luca
2016
On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Global smooth solution to the standard phase-field model with memory. Zbl 1023.45500
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2019
Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Phase transition problems in materials with memory. Zbl 0781.45009
Colli, Pierluigi; Grasselli, Maurizio
1993
Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier law. Zbl 0930.35036
Colli, Pierluigi; Sprekels, Jürgen
1999
Automatic control via thermostats of a hyperbolic Stefan problem with memory. Zbl 0931.35198
Colli, P.; Grasselli, M.; Sprekels, J.
1999
Optimal boundary control of a nonstandard Cahn-Hilliard system with dynamic boundary condition and double obstacle inclusions. Zbl 1382.49004
Colli, Pierluigi; Sprekels, Jürgen
2017
Stefan problems and the Penrose-Fife phase field model. Zbl 0892.35158
Colli, Pierluigi; Sprekels, Jürgen
1997
Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
A non-smooth regularization of a forward-backward parabolic equation. Zbl 1367.35096
Bonetti, Elena; Colli, Pierluigi; Tomassetti, Giuseppe
2017
Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2017
A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity. Zbl 1393.35235
Bonetti, Elena; Colli, Pierluigi; Scarpa, Luca; Tomassetti, Giuseppe
2018
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2016
Diffusion through thin layers with high specific heat. Zbl 0724.35010
Colli, Pierluigi; Rodrigues, José-Francisco
1990
Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. Zbl 1418.49003
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
A boundary control problem for a possibly singular phase field system with dynamic boundary conditions. Zbl 1327.49007
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2016
On an application of Tikhonov’s fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation. Zbl 1335.35100
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Existence and stabilization of solutions to the phase-field model with memory. Zbl 0925.45006
Colli, Pierluigi; Laurençot, Philippe
1998
Positivity of temperature in the general Frémond model for shape memory alloys. Zbl 0788.73016
Colli, P.; Sprekels, J.
1993
A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio
2004
A mathematical model of heterogeneous behavior of single muscle fibres. Zbl 0595.92004
Colli, Pierluigi
1986
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic-parabolic equations. Zbl 0859.35077
Colli, Pierluigi; Favini, Angelo
1996
Global solution to the full one-dimensional Frémond model for shape memory alloys. Zbl 0821.35156
Colli, Pierluigi; Sprekels, Jürgen
1995
Optimal control problems of phase relaxation models. Zbl 1008.49003
Barbu, V.; Bernardi, M. L.; Colli, P.; Gilardi, G.
2001
Global existence for a hydrogen storage model with full energy balance. Zbl 1238.35159
Bonetti, Elena; Colli, Pierluigi; Laurençot, Philippe
2012
Global existence of a solution to a phase field model for supercooling. Zbl 0998.80005
Colli, Pierluigi; Frémond, Michel; Klein, Olaf
2001
Weak solution to some Penrose-Fife phase-field systems with temperature-dependent memory. Zbl 0897.45012
Colli, Pierluigi; Sprekels, Jürgen
1998
Solvability and asymptotic analysis of a generalization of the Caginalp phase field system. Zbl 1275.80003
Canevari, Giacomo; Colli, Pierluigi
2012
Existence and boundedness of solutions for a singular phase field system. Zbl 1170.35443
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2009
Bounded solutions and their asymptotics for a doubly nonlinear Cahn-Hilliard system. Zbl 1445.35053
Bonetti, Elena; Colli, Pierluigi; Scarpa, Luca; Tomassetti, Giuseppe
2020
Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1365.35059
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
An existence result for a thermo-mechanical model of shape memory alloys. Zbl 0772.73003
Colli, Pierluigi
1992
Global existence for a second-order thermo-mechanical model of shape memory alloys. Zbl 0766.73012
Colli, Pierluigi
1992
Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
On a nonlinear and nonlocal evolution equation related to muscle contraction. Zbl 0685.45010
Colli, Pierluigi
1989
Global existence for the conserved phase field model with memory and quadratic nonlinearity. Zbl 0985.35094
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Convergence properties for a generalization of the Caginalp phase field system. Zbl 1278.35163
Canevari, Giacomo; Colli, Pierluigi
2013
Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen
2014
Uniqueness of weak solutions to the phase-field model with memory. Zbl 0933.35103
Colli, Pierluigi; Laurençot, Philippe
1998
Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials. Zbl 07371832
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen
2021
Long time convergence for a class of variational phase-field models. Zbl 1178.35065
Colli, Pierluigi; Hilhorst, Danielle; Issard-Roch, Françoise; Schimperna, Giulio
2009
Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility. Zbl 1292.35297
Colli, P.; Gilardi, G.; Podio-Guidugli, P.; Sprekels, J.
2012
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. Zbl 1444.92040
Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta
2020
An existence result for a hyperbolic phase transition problem with memory. Zbl 0752.45010
Colli, Pierluigi; Grasselli, Maurizio
1992
Convergence to the Stefan problem of the phase relaxation problem with Cattaneo heat flux law. Zbl 1034.35158
Colli, Pierluigi; Recupero, Vincenzo
2002
Mathematical study of an evolution problem describing the thermo- mechanical process in shape memory alloys. Zbl 0745.73002
Colli, Pierluigi
1991
Singular limit of an integrodifferential system related to the entropy balance. Zbl 1304.35083
Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni
2014
Sharp interface control in a Penrose-Fife model. Zbl 1338.49007
Colli, Pierluigi; Marinoschi, Gabriela; Rocca, Elisabetta
2016
Justification of a hyperbolic approach to phase changes in materials with memory. Zbl 0848.35143
Colli, Pierluigi; Grasselli, Maurizio
1995
Long-time behavior for the full one-dimensional Frémond model for shape memory alloys. Zbl 1006.74074
Colli, Pierluigi; Laurençot, Philippe; Stefanelli, Ulisse
2000
Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials. Zbl 07371832
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen
2021
Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis. Zbl 1473.49053
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen
2021
Boundary control problem and optimality conditions for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1480.93192
Colli, Pierluigi; Signori, Andrea
2021
Sliding mode control for a generalization of the Caginalp phase-field system. Zbl 1475.35182
Colli, Pierluigi; Manini, Davide
2021
Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials. Zbl 1458.35244
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2021
Stabilisation of a linearised Cahn-Hilliard system for phase separation by proportional boundary feedbacks. Zbl 1461.93400
Colli, Pierluigi; Gilardi, Gianni; Munteanu, Ionut
2021
Bounded solutions and their asymptotics for a doubly nonlinear Cahn-Hilliard system. Zbl 1445.35053
Bonetti, Elena; Colli, Pierluigi; Scarpa, Luca; Tomassetti, Giuseppe
2020
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. Zbl 1444.92040
Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta
2020
Asymptotic analysis of a tumor growth model with fractional operators. Zbl 1476.35284
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2020
Optimal distributed control of a generalized fractional Cahn-Hilliard system. Zbl 1447.35181
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2020
Global existence for a phase separation system deduced from the entropy balance. Zbl 1428.35163
Colli, Pierluigi; Kurima, Shunsuke
2020
Cahn-Hilliard equation on the boundary with bulk condition of Allen-Cahn type. Zbl 1417.35076
Colli, Pierluigi; Fukao, Takeshi
2020
Vanishing diffusion in a dynamic boundary condition for the Cahn-Hilliard equation. Zbl 1452.35080
Colli, Pierluigi; Fukao, Takeshi
2020
Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2019
Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. Zbl 1418.49003
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
On a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition and its approximation by a Robin boundary condition. Zbl 1418.35245
Colli, Pierluigi; Fukao, Takeshi; Lam, Kei Fong
2019
Recent results on well-posedness and optimal control for a class of generalized fractional Cahn-Hilliard systems. Zbl 1451.49008
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Well-posedness and regularity for a fractional tumor growth model. Zbl 1477.35282
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Well-posedness, regularity and asymptotic analyses for a fractional phase field system. Zbl 1443.35154
Colli, Pierluigi; Gilardi, Gianni
2019
Time discretization of a nonlinear phase field system in general domains. Zbl 1480.35008
Colli, Pierluigi; Kurima, Shunsuke
2019
Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1391.49039
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity. Zbl 1393.35235
Bonetti, Elena; Colli, Pierluigi; Scarpa, Luca; Tomassetti, Giuseppe
2018
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Global existence for a singular phase field system related to a sliding mode control problem. Zbl 1485.35263
Colli, Pierluigi; Colturato, Michele
2018
On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35044
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Limiting problems for a nonstandard viscous Cahn-Hilliard system with dynamic boundary conditions. Zbl 1406.74545
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162
Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken
2017
Optimal boundary control of a nonstandard Cahn-Hilliard system with dynamic boundary condition and double obstacle inclusions. Zbl 1382.49004
Colli, Pierluigi; Sprekels, Jürgen
2017
A non-smooth regularization of a forward-backward parabolic equation. Zbl 1367.35096
Bonetti, Elena; Colli, Pierluigi; Tomassetti, Giuseppe
2017
Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2017
Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1365.35059
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Recent results on the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1364.35130
Colli, Pierluigi; Gilardi, Gianni; Sprekels, J.
2017
Feedback stabilization of the Cahn-Hilliard type system for phase separation. Zbl 1351.93113
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2017
Solvability, regularity, and optimal control of boundary value problems for PDEs. In honour of Prof. Gianni Gilardi. Zbl 1387.35010
2017
A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems. Zbl 1334.35154
Colli, Pierluigi; Fukao, Takeshi
2016
From the viscous Cahn-Hilliard equation to a regularized forward-backward parabolic equation. Zbl 1353.35232
Colli, Pierluigi; Scarpa, Luca
2016
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2016
A boundary control problem for a possibly singular phase field system with dynamic boundary conditions. Zbl 1327.49007
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2016
On an application of Tikhonov’s fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation. Zbl 1335.35100
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Sharp interface control in a Penrose-Fife model. Zbl 1338.49007
Colli, Pierluigi; Marinoschi, Gabriela; Rocca, Elisabetta
2016
Distributed optimal control of a nonstandard nonlocal phase field system. Zbl 1428.49025
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Constrained evolution for a quasilinear parabolic equation. Zbl 1357.35197
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys. Zbl 1333.35271
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2016
Existence of solutions for a model of microwave heating. Zbl 1339.35303
Colli, Pierluigi; Scarpa, Luca
2016
A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2015
On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407
Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle
2015
Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials. Zbl 1326.49033
Colli, Pierluigi; Farshbaf-Shaker, M. Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
Cahn-Hilliard equation with dynamic boundary conditions and mass constraint on the boundary. Zbl 1327.35149
Colli, Pierluigi; Fukao, Takeshi
2015
Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials. Zbl 1323.35092
Colli, Pierluigi; Fukao, Takeshi
2015
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2015
Optimal control of an Allen-Cahn equation with singular potentials and dynamic boundary condition. Zbl 1382.74089
Colli, Pierluigi; Sprekels, Jürgen
2015
The Allen-Cahn equation with dynamic boundary conditions and mass constraints. Zbl 1334.35165
Colli, Pierluigi; Fukao, Takeshi
2015
A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles. Zbl 1309.74054
Colli, Pierluigi; Farshbaf-Shaker, M.; Sprekels, Jürgen
2015
Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary condition. Zbl 1335.49036
Colli, Pierluigi; Farshbaf-Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2014
A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen
2014
Singular limit of an integrodifferential system related to the entropy balance. Zbl 1304.35083
Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni
2014
2D motion with large deformations. Zbl 1296.74008
Bonetti, Elena; Colli, Pierluigi; Frémond, Michel
2014
The 3D motion of a solid with large deformations. (Mouvement en dimension 3 d’un solide en grandes déformations.) Zbl 1291.35387
Bonetti, Elena; Colli, Pierluigi; Frémond, Michel
2014
Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions. Zbl 1270.35275
Calatroni, Luca; Colli, Pierluigi
2013
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Convergence properties for a generalization of the Caginalp phase field system. Zbl 1278.35163
Canevari, Giacomo; Colli, Pierluigi
2013
The motion of a solid with large deformations. Zbl 1273.74021
Bonetti, Elena; Colli, Pierluigi; Frémond, Michel
2013
Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system. Zbl 1241.35155
Colli, Pierluigi; Frigeri, Sergio; Grasselli, Maurizio
2012
Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2012
Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Global existence for a hydrogen storage model with full energy balance. Zbl 1238.35159
Bonetti, Elena; Colli, Pierluigi; Laurençot, Philippe
2012
Solvability and asymptotic analysis of a generalization of the Caginalp phase field system. Zbl 1275.80003
Canevari, Giacomo; Colli, Pierluigi
2012
Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility. Zbl 1292.35297
Colli, P.; Gilardi, G.; Podio-Guidugli, P.; Sprekels, J.
2012
A phase-field approximation of the Willmore flow with volume and area constraints. Zbl 1262.35120
Colli, Pierluigi; Laurençot, Philippe
2012
Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2011
A phase-field approximation of the Willmore flow with volume constraint. Zbl 1233.35110
Colli, Pierluigi; Laurençot, Philippe
2011
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity. Zbl 1221.35190
Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2011
Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
Existence and boundedness of solutions for a singular phase field system. Zbl 1170.35443
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2009
Long time convergence for a class of variational phase-field models. Zbl 1178.35065
Colli, Pierluigi; Hilhorst, Danielle; Issard-Roch, Françoise; Schimperna, Giulio
2009
Nonlinear evolution inclusions arising from phase change models. Zbl 1174.35021
Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
Global solution to a singular integro-differential system related to the entropy balance. Zbl 1128.35056
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2007
Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity. Zbl 1123.35309
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2006
Attractors for a three-dimensional thermo-mechanical model of shape memory alloys. Zbl 1133.35323
Colli, Pierluigi; Frémond, Michel; Rocca, Elisabetta; Shirakawa, Ken
2006
On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio
2004
Attractors for the one-dimensional Frémond model of shape memory alloys. Zbl 1069.35014
Colli, Pierluigi; Shirakawa, Ken
2004
A phase field model with thermal memory governed by the entropy balance. Zbl 1053.80009
Bonetti, Elena; Colli, Pierluigi; Fremond, Michel
2003
Mathematical aspects of evolving interfaces. Lectures given at the C. I. M. -C. I. M. E. joint Euro-summer school, Madeira, Funchal, Portugal, July 3–9, 2000. Zbl 1013.00023
2003
Global existence for a class of generalized systems for irreversible phase changes. Zbl 1004.35061
Colli, Pierluigi; Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2002
On a model for phase separation in binary alloys driven by mechanical effects. Zbl 1008.74066
Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen
2002
Convergence to the Stefan problem of the phase relaxation problem with Cattaneo heat flux law. Zbl 1034.35158
Colli, Pierluigi; Recupero, Vincenzo
2002
...and 65 more Documents
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### Cited by 463 Authors

 92 Colli, Pierluigi 46 Rocca, Elisabetta 45 Gilardi, Gianni 45 Sprekels, Jürgen 27 Schimperna, Giulio 22 Bonetti, Elena 20 Grasselli, Maurizio 20 Stefanelli, Ulisse 18 Scarpa, Luca 17 Krejčí, Pavel 14 Fukao, Takeshi 14 Miranville, Alain M. 14 Signori, Andrea 13 Frémond, Michel 13 Lam, Kei Fong 13 Rossi, Riccarda 13 Roubíček, Tomáš 12 Akagi, Goro 12 Fabrizio, Mauro 12 Frigeri, Sergio 12 Garcke, Harald 11 Marinoschi, Gabriela 10 Mielke, Alexander 9 Kubo, Masahiro 9 Zheng, Jiashan 8 Gal, Ciprian Gheorghe Sorin 8 Kurima, Shunsuke 7 Boldrini, José Luiz 7 Bonfanti, Giovanna 7 Kenmochi, Nobuyuki 7 Knopf, Patrik 7 Liu, Chein-Shan 7 Shirakawa, Ken 7 Tomassetti, Giuseppe 7 Wu, Hao 6 Barbu, Viorel 6 Heinemann, Christian 6 Luterotti, Fabio 6 Segatti, Antonio 6 Timoshin, Sergey A. 6 Wang, Yifu 5 Colturato, Michele 5 Ebenbeck, Matthias 5 Emmrich, Etienne 5 Feireisl, Eduard 5 Gurevich, Pavel L. 5 Hynd, Ryan 5 Laurençot, Philippe 5 Melchionna, Stefano 5 Minchev, Emil 5 Yamazaki, Noriaki 5 Zhu, Peicheng 4 Aizicovici, Sergiu 4 Alber, Hans-Dieter 4 Berti, Valeria 4 Biswas, Tania 4 Cavaterra, Cecilia 4 Davoli, Elisa 4 Deugoue, Gabriel 4 Dharmatti, Sheetal 4 Kraus, Christiane 4 Moroşanu, Costică 4 Naldi, Giovanni 4 Savaré, Giuseppe 4 Tachim Medjo, Theodore 4 Tolstonogov, Aleksandr Aleksandrovich 4 Zelik, Sergey V. 3 Caretta, Bianca Morelli Calsavara 3 Colombo, Fabrizio 3 Comincioli, Valeriano 3 Della Porta, Francesco 3 Elliott, Charles M. 3 Giorgi, Claudio 3 Giorgini, Andrea 3 Guidetti, Davide 3 Hamamuki, Nao 3 Hintermüller, Michael 3 Jiang, Jie 3 Kubota, Shodai 3 Lindgren, Erik 3 Mohan, Manil Thankamani 3 Niezgódka, Marek 3 Petrov, Adrien 3 Planas, Gabriela 3 Scala, Riccardo 3 Thalhammer, Mechthild 3 Trussardi, Lara 3 Visintin, Augusto 3 Zheng, Songmu 2 Aiki, Toyohiko 2 Allain, Geneviève 2 Antil, Harbir 2 Aso, Masayasu 2 Bates, Peter W. 2 Bian, Wei 2 Bin, Chen 2 Bisegna, Paolo 2 Bosia, Stefano 2 Bretin, Elie 2 Calsavara, Bianca Morelli Rodolfo ...and 363 more Authors
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### Cited in 139 Serials

 47 Journal of Mathematical Analysis and Applications 37 Journal of Differential Equations 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Mathematical Methods in the Applied Sciences 24 Applied Mathematics and Optimization 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Nonlinear Analysis. Real World Applications 15 Discrete and Continuous Dynamical Systems. Series S 14 Physica D 11 SIAM Journal on Mathematical Analysis 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 NoDEA. Nonlinear Differential Equations and Applications 10 Discrete and Continuous Dynamical Systems 9 Archive for Rational Mechanics and Analysis 9 SIAM Journal on Control and Optimization 9 Journal of Evolution Equations 8 European Journal of Applied Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Asymptotic Analysis 7 Applications of Mathematics 7 Communications on Pure and Applied Analysis 6 Nonlinearity 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Computational and Applied Mathematics 6 Numerical Functional Analysis and Optimization 6 Journal of Integral Equations and Applications 6 Calculus of Variations and Partial Differential Equations 6 Discrete and Continuous Dynamical Systems. Series B 6 Evolution Equations and Control Theory 6 AIMS Mathematics 5 International Journal of Control 5 Continuum Mechanics and Thermodynamics 5 Journal of Mathematical Fluid Mechanics 5 Boundary Value Problems 4 Journal of Functional Analysis 4 Journal of Optimization Theory and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Mathematical Control and Related Fields 4 Journal of Elliptic and Parabolic Equations 3 Journal of Computational Physics 3 Meccanica 3 Quarterly of Applied Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Applied Mathematics Letters 3 Journal of Nonlinear Science 3 Journal of Convex Analysis 3 Mathematics and Mechanics of Solids 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 GAMM-Mitteilungen 3 Advances in Nonlinear Analysis 2 Computers & Mathematics with Applications 2 Journal of Mathematical Physics 2 Journal of the Mechanics and Physics of Solids 2 Applied Mathematics and Computation 2 Advances in Applied Mathematics 2 Mathematical and Computer Modelling 2 Journal of Scientific Computing 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 Communications in Partial Differential Equations 2 Journal of Dynamics and Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Dynamical and Control Systems 2 Archives of Computational Methods in Engineering 2 Foundations of Computational Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Milan Journal of Mathematics 2 Oberwolfach Reports 2 Journal of Fixed Point Theory and Applications 2 Bollettino dell’Unione Matematica Italiana 1 Applicable Analysis 1 International Journal of Engineering Science 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Automatica 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 International Journal for Numerical Methods in Engineering 1 Numerische Mathematik 1 Osaka Journal of Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Optimization 1 Numerical Methods for Partial Differential Equations ...and 39 more Serials
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### Cited in 29 Fields

 491 Partial differential equations (35-XX) 127 Mechanics of deformable solids (74-XX) 124 Classical thermodynamics, heat transfer (80-XX) 116 Calculus of variations and optimal control; optimization (49-XX) 81 Fluid mechanics (76-XX) 67 Numerical analysis (65-XX) 67 Biology and other natural sciences (92-XX) 60 Operator theory (47-XX) 46 Statistical mechanics, structure of matter (82-XX) 43 Integral equations (45-XX) 29 Ordinary differential equations (34-XX) 28 Systems theory; control (93-XX) 26 Dynamical systems and ergodic theory (37-XX) 16 Probability theory and stochastic processes (60-XX) 13 Operations research, mathematical programming (90-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Optics, electromagnetic theory (78-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Geophysics (86-XX) 3 Measure and integration (28-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX)