Edit Profile Colli, Pierluigi Compute Distance To: Compute Author ID: colli.pierluigi Published as: Colli, P.; Colli, Pierluigi Homepage: http://www-dimat.unipv.it/pier/ External Links: MGP · ORCID · ResearchGate · dblp · arXiv Documents Indexed: 184 Publications since 1983, including 5 Books all top 5 Co-Authors 17 single-authored 68 Gilardi, Gianni 56 Sprekels, Jürgen 28 Grasselli, Maurizio 16 Bonetti, Elena 16 Rocca, Elisabetta 9 Marinoschi, Gabriela 8 Frémond, Michel 8 Guidugli, Paolo Podio 8 Laurençot, Philippe 7 Fukao, Takeshi 7 Schimperna, Giulio 6 Krejčí, Pavel 5 Visintin, Augusto 4 Barbu, Viorel 4 Fabrizio, Mauro 4 Rodrigues, José Francisco 4 Scarpa, Luca 4 Shirakawa, Ken 4 Tomassetti, Giuseppe 3 Aizicovici, Sergiu 3 Farshbaf-Shaker, Mohammad Hassan 3 Favini, Angelo 3 Kenmochi, Nobuyuki 3 Naldi, Giovanni 2 Allain, Geneviève 2 Canevari, Giacomo 2 Comincioli, Valeriano 2 Hilhorst, Danielle 2 Luterotti, Fabio 2 Savaré, Giuseppe 2 Stefanelli, Ulisse 2 Verdi, Claudio 1 Bernardi, Marco Luigi 1 Bonfanti, Giovanna 1 Calatroni, Luca 1 Chiusano, L. 1 Colturato, Michele 1 Damlamian, Alain 1 Dreyer, Wolfgang 1 Frigeri, Sergio 1 Gentili, Giorgio 1 Giorgi, Claudio 1 Gómez, Héctor W. 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 Kurima, Shunsuke 1 Lam, Kei Fong 1 Lorenzo, Guillermo 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 Reali, Alessandro 1 Recupero, Vincenzo 1 Reggiani, Carlo 1 Segatti, Antonio 1 Torelli, Alessandro 1 Yamazaki, Noriaki all top 5 Serials 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 6 Applied Mathematics and Optimization 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 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 Nonlinear Analysis. Theory, Methods & Applications 3 SIAM Journal on Mathematical Analysis 3 Continuum Mechanics and Thermodynamics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series S 3 Evolution Equations and Control Theory 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of Optimization Theory and Applications 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 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Advances in Nonlinear Analysis 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 International Journal of Control 1 Journal of Mathematical Biology 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 Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică 1 Communications on Applied Nonlinear Analysis 1 Communications in Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 RIMS Kokyuroku 1 Interfaces and Free Boundaries 1 Journal of Evolution Equations 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 Mathematical Control and Related Fields 1 Springer INdAM Series 1 Journal of Elliptic and Parabolic Equations 1 Bollettino dell’Unione Matematica Italiana 1 AIMS Mathematics all top 5 Fields 154 Partial differential equations (35-XX) 68 Classical thermodynamics, heat transfer (80-XX) 54 Mechanics of deformable solids (74-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 27 Integral equations (45-XX) 20 Biology and other natural sciences (92-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Operator theory (47-XX) 11 Fluid mechanics (76-XX) 9 Numerical analysis (65-XX) 9 Systems theory; control (93-XX) 7 Ordinary differential equations (34-XX) 6 General and overarching topics; collections (00-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 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 153 Publications have been cited 1,410 times in 510 Documents Cited by ▼ Year ▼ On a class of doubly nonlinear evolution equations. Zbl 0707.34053Colli, P.; Visintin, A. 73 1990 On some doubly nonlinear evolution equations in Banach spaces. Zbl 0757.34051Colli, Pierluigi 41 1992 Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system. Zbl 1241.35155Colli, Pierluigi; Frigeri, Sergio; Grasselli, Maurizio 39 2012 A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 36 2015 On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 35 2014 A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 34 2016 Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions. Zbl 1270.35275Calatroni, Luca; Colli, Pierluigi 33 2013 Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials. Zbl 1326.49033Colli, Pierluigi; Farshbaf-Shaker, M. Hassan; Gilardi, Gianni; Sprekels, Jürgen 30 2015 Cahn-Hilliard equation with dynamic boundary conditions and mass constraint on the boundary. Zbl 1327.35149Colli, Pierluigi; Fukao, Takeshi 30 2015 Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 28 2017 On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle 27 2015 Optimal control of an Allen-Cahn equation with singular potentials and dynamic boundary condition. Zbl 1382.74089Colli, Pierluigi; Sprekels, Jürgen 26 2015 Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials. Zbl 1323.35092Colli, Pierluigi; Fukao, Takeshi 26 2015 Thermo-mechanical evolution of shape memory alloys. Zbl 0693.73003Colli, Pierluigi; Frémond, Michel; Visintin, Augusto 25 1990 Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws. Zbl 0929.35062Colli, Pierluigi; Laurençot, Philippe 22 1998 Nonlinear evolution inclusions arising from phase change models. Zbl 1174.35021Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 21 2007 Global existence for a class of generalized systems for irreversible phase changes. Zbl 1004.35061Colli, Pierluigi; Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 21 2002 A phase-field model with temperature dependent constraint. Zbl 0980.35074Colli, Pierluigi; Kenmochi, Nobuyuki; Kubo, Masahiro 21 2001 Well-posedness of the weak formulation for the phase-field model with memory. Zbl 1023.45501Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 21 1997 Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 20 2012 Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 20 2011 Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 18 2015 A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles. Zbl 1309.74054Colli, Pierluigi; Farshbaf-Shaker, M.; Sprekels, Jürgen 18 2015 On a model for phase separation in binary alloys driven by mechanical effects. Zbl 1008.74066Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen 18 2002 The Allen-Cahn equation with dynamic boundary conditions and mass constraints. Zbl 1334.35165Colli, Pierluigi; Fukao, Takeshi 17 2015 Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 16 2012 A phase field model with thermal memory governed by the entropy balance. Zbl 1053.80009Bonetti, Elena; Colli, Pierluigi; Fremond, Michel 16 2003 Global existence for the three-dimensional Frémond model of shape memory alloys. Zbl 0832.35066Colli, Pierluigi 16 1995 A nonlinear evolution problem describing multi-component phase changes with dissipation. Zbl 0828.35134Colli, Pierluigi; Hoffmann, Karl-Heinz 16 1993 Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 15 2017 Global solution to a singular integro-differential system related to the entropy balance. Zbl 1128.35056Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni 15 2007 Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary condition. Zbl 1335.49036Colli, Pierluigi; Farshbaf-Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen 14 2015 The conserved phase-field system with memory. Zbl 0982.80006Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G. 14 2001 Global existence for a three-dimensional model for the thermo-mechanical evolution of shape memory alloys. Zbl 0766.35062Colli, Pierluigi; Sprekels, Jürgen 14 1992 Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1391.49039Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 13 2018 Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 13 2017 Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems. Zbl 1334.35154Colli, Pierluigi; Fukao, Takeshi 13 2016 Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity. Zbl 1123.35309Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni 13 2006 Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 13 2000 On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type. Zbl 0852.35030Colli, Pierluigi; Sprekels, Jürgen 13 1995 Global smooth solution to the standard phase-field model with memory. Zbl 1023.45500Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 12 1997 Phase transition problems in materials with memory. Zbl 0781.45009Colli, Pierluigi; Grasselli, Maurizio 12 1993 Uniqueness and long-time behavior for the conserved phase-field system with memory. Zbl 0981.74012Colli, Pierluigi; Gilardi, Gianni; Laurençot, Philippe; Novick-Cohen, Amy 11 1999 Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier law. Zbl 0930.35036Colli, Pierluigi; Sprekels, Jürgen 11 1999 On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 10 2018 An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 10 2013 Automatic control via thermostats of a hyperbolic Stefan problem with memory. Zbl 0931.35198Colli, P.; Grasselli, M.; Sprekels, J. 10 1999 Stefan problems and the Penrose-Fife phase field model. Zbl 0892.35158Colli, Pierluigi; Sprekels, Jürgen 10 1997 Optimal boundary control of a nonstandard Cahn-Hilliard system with dynamic boundary condition and double obstacle inclusions. Zbl 1382.49004Colli, Pierluigi; Sprekels, Jürgen 9 2017 A non-smooth regularization of a forward-backward parabolic equation. Zbl 1367.35096Bonetti, Elena; Colli, Pierluigi; Tomassetti, Giuseppe 9 2017 From the viscous Cahn-Hilliard equation to a regularized forward-backward parabolic equation. Zbl 1353.35232Colli, Pierluigi; Scarpa, Luca 9 2016 Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 9 2016 Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 9 2013 Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. Zbl 1418.49003Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 8 2019 On an application of Tikhonov’s fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation. Zbl 1335.35100Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 8 2016 Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 8 2012 Existence and stabilization of solutions to the phase-field model with memory. Zbl 0925.45006Colli, Pierluigi; Laurençot, Philippe 8 1998 Positivity of temperature in the general Frémond model for shape memory alloys. Zbl 0788.73016Colli, P.; Sprekels, J. 8 1993 Diffusion through thin layers with high specific heat. Zbl 0724.35010Colli, Pierluigi; Rodrigues, José-Francisco 8 1990 Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 7 2019 A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken 7 2017 Global existence for a hydrogen storage model with full energy balance. Zbl 1238.35159Bonetti, Elena; Colli, Pierluigi; Laurençot, Philippe 7 2012 On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio 7 2004 Optimal control problems of phase relaxation models. Zbl 1008.49003Barbu, V.; Bernardi, M. L.; Colli, P.; Gilardi, G. 7 2001 Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic-parabolic equations. Zbl 0859.35077Colli, Pierluigi; Favini, Angelo 7 1996 Global solution to the full one-dimensional Frémond model for shape memory alloys. Zbl 0821.35156Colli, Pierluigi; Sprekels, Jürgen 7 1995 A mathematical model of heterogeneous behavior of single muscle fibres. Zbl 0595.92004Colli, Pierluigi 7 1986 A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity. Zbl 1393.35235Bonetti, Elena; Colli, Pierluigi; Scarpa, Luca; Tomassetti, Giuseppe 6 2018 Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 6 2017 A boundary control problem for a possibly singular phase field system with dynamic boundary conditions. Zbl 1327.49007Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela 6 2016 A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen 6 2014 Existence and boundedness of solutions for a singular phase field system. Zbl 1170.35443Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni 6 2009 Global existence of a solution to a phase field model for supercooling. Zbl 0998.80005Colli, Pierluigi; Frémond, Michel; Klein, Olaf 6 2001 Weak solution to some Penrose-Fife phase-field systems with temperature-dependent memory. Zbl 0897.45012Colli, Pierluigi; Sprekels, Jürgen 6 1998 Sharp interface control in a Penrose-Fife model. Zbl 1338.49007Colli, Pierluigi; Marinoschi, Gabriela; Rocca, Elisabetta 5 2016 A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen 5 2014 Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen 5 2014 Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility. Zbl 1292.35297Colli, P.; Gilardi, G.; Podio-Guidugli, P.; Sprekels, J. 5 2012 Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 5 2010 Global existence for the conserved phase field model with memory and quadratic nonlinearity. Zbl 0985.35094Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G. 5 2001 Uniqueness of weak solutions to the phase-field model with memory. Zbl 0933.35103Colli, Pierluigi; Laurençot, Philippe 5 1998 Global existence for a second-order thermo-mechanical model of shape memory alloys. Zbl 0766.73012Colli, Pierluigi 5 1992 An existence result for a thermo-mechanical model of shape memory alloys. Zbl 0772.73003Colli, Pierluigi 5 1992 Mathematical study of an evolution problem describing the thermo- mechanical process in shape memory alloys. Zbl 0745.73002Colli, Pierluigi 5 1991 On a nonlinear and nonlocal evolution equation related to muscle contraction. Zbl 0685.45010Colli, Pierluigi 5 1989 On a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition and its approximation by a Robin boundary condition. Zbl 1418.35245Colli, Pierluigi; Fukao, Takeshi; Lam, Kei Fong 4 2019 Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 4 2018 Singular limit of an integrodifferential system related to the entropy balance. Zbl 1304.35083Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni 4 2014 A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 4 2010 Attractors for a three-dimensional thermo-mechanical model of shape memory alloys. Zbl 1133.35323Colli, Pierluigi; Frémond, Michel; Rocca, Elisabetta; Shirakawa, Ken 4 2006 Convergence to the Stefan problem of the phase relaxation problem with Cattaneo heat flux law. Zbl 1034.35158Colli, Pierluigi; Recupero, Vincenzo 4 2002 Doubly nonlinear evolution equations with memory. Zbl 1154.35395Aizicovici, Sergiu; Colli, Pierluigi; Grasselli, Maurizio 4 2001 Long-time behavior for the full one-dimensional Frémond model for shape memory alloys. Zbl 1006.74074Colli, Pierluigi; Laurençot, Philippe; Stefanelli, Ulisse 4 2000 Time discretization of Stefan problems with singular heat flux. Zbl 0864.35124Colli, P.; Savaré, G. 4 1996 Justification of a hyperbolic approach to phase changes in materials with memory. Zbl 0848.35143Colli, Pierluigi; Grasselli, Maurizio 4 1995 Phase transitions in materials with memory. Zbl 0787.35048Colli, P.; Grasselli, M. 4 1993 Hyperbolic phase change problems in heat conduction with memory. Zbl 0788.35151Colli, Pierluigi; Grasselli, Maurizio 4 1993 An existence result for a hyperbolic phase transition problem with memory. Zbl 0752.45010Colli, Pierluigi; Grasselli, Maurizio 4 1992 Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. Zbl 1444.92040Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta 3 2020 Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 3 2019 Stabilisation of a linearised Cahn-Hilliard system for phase separation by proportional boundary feedbacks. Zbl 07325686Colli, Pierluigi; Gilardi, Gianni; Munteanu, Ionut 1 2021 Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. Zbl 1444.92040Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta 3 2020 Optimal distributed control of a generalized fractional Cahn-Hilliard system. Zbl 1447.35181Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 2 2020 Bounded solutions and their asymptotics for a doubly nonlinear Cahn-Hilliard system. Zbl 1445.35053Bonetti, Elena; Colli, Pierluigi; Scarpa, Luca; Tomassetti, Giuseppe 2 2020 Asymptotic analysis of a tumor growth model with fractional operators. Zbl 07311877Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 1 2020 Global existence for a phase separation system deduced from the entropy balance. Zbl 1428.35163Colli, Pierluigi; Kurima, Shunsuke 1 2020 Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. Zbl 1418.49003Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 8 2019 Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 7 2019 On a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition and its approximation by a Robin boundary condition. Zbl 1418.35245Colli, Pierluigi; Fukao, Takeshi; Lam, Kei Fong 4 2019 Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 3 2019 Recent results on well-posedness and optimal control for a class of generalized fractional Cahn-Hilliard systems. Zbl 1451.49008Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 1 2019 Well-posedness, regularity and asymptotic analyses for a fractional phase field system. Zbl 1443.35154Colli, Pierluigi; Gilardi, Gianni 1 2019 Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1391.49039Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 13 2018 On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 10 2018 A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity. Zbl 1393.35235Bonetti, Elena; Colli, Pierluigi; Scarpa, Luca; Tomassetti, Giuseppe 6 2018 Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 4 2018 Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 3 2018 Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 1 2018 Global existence for a singular phase field system related to a sliding mode control problem. Zbl 06839539Colli, Pierluigi; Colturato, Michele 1 2018 Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 28 2017 Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 15 2017 Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 13 2017 Optimal boundary control of a nonstandard Cahn-Hilliard system with dynamic boundary condition and double obstacle inclusions. Zbl 1382.49004Colli, Pierluigi; Sprekels, Jürgen 9 2017 A non-smooth regularization of a forward-backward parabolic equation. Zbl 1367.35096Bonetti, Elena; Colli, Pierluigi; Tomassetti, Giuseppe 9 2017 A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken 7 2017 Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 6 2017 Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1365.35059Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 3 2017 Recent results on the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1364.35130Colli, Pierluigi; Gilardi, Gianni; Sprekels, J. 2 2017 Feedback stabilization of the Cahn-Hilliard type system for phase separation. Zbl 1351.93113Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela 2 2017 A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 34 2016 Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems. Zbl 1334.35154Colli, Pierluigi; Fukao, Takeshi 13 2016 From the viscous Cahn-Hilliard equation to a regularized forward-backward parabolic equation. Zbl 1353.35232Colli, Pierluigi; Scarpa, Luca 9 2016 Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 9 2016 On an application of Tikhonov’s fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation. Zbl 1335.35100Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 8 2016 A boundary control problem for a possibly singular phase field system with dynamic boundary conditions. Zbl 1327.49007Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela 6 2016 Sharp interface control in a Penrose-Fife model. Zbl 1338.49007Colli, Pierluigi; Marinoschi, Gabriela; Rocca, Elisabetta 5 2016 Distributed optimal control of a nonstandard nonlocal phase field system. Zbl 1428.49025Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 3 2016 Constrained evolution for a quasilinear parabolic equation. Zbl 1357.35197Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 1 2016 Existence of solutions for a model of microwave heating. Zbl 1339.35303Colli, Pierluigi; Scarpa, Luca 1 2016 Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys. Zbl 1333.35271Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni 1 2016 A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 36 2015 Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials. Zbl 1326.49033Colli, Pierluigi; Farshbaf-Shaker, M. Hassan; Gilardi, Gianni; Sprekels, Jürgen 30 2015 Cahn-Hilliard equation with dynamic boundary conditions and mass constraint on the boundary. Zbl 1327.35149Colli, Pierluigi; Fukao, Takeshi 30 2015 On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle 27 2015 Optimal control of an Allen-Cahn equation with singular potentials and dynamic boundary condition. Zbl 1382.74089Colli, Pierluigi; Sprekels, Jürgen 26 2015 Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials. Zbl 1323.35092Colli, Pierluigi; Fukao, Takeshi 26 2015 Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 18 2015 A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles. Zbl 1309.74054Colli, Pierluigi; Farshbaf-Shaker, M.; Sprekels, Jürgen 18 2015 The Allen-Cahn equation with dynamic boundary conditions and mass constraints. Zbl 1334.35165Colli, Pierluigi; Fukao, Takeshi 17 2015 Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary condition. Zbl 1335.49036Colli, Pierluigi; Farshbaf-Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen 14 2015 On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 35 2014 A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen 6 2014 A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen 5 2014 Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen 5 2014 Singular limit of an integrodifferential system related to the entropy balance. Zbl 1304.35083Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni 4 2014 2D motion with large deformations. Zbl 1296.74008Bonetti, Elena; Colli, Pierluigi; Frémond, Michel 1 2014 The 3D motion of a solid with large deformations. Zbl 1291.35387Bonetti, Elena; Colli, Pierluigi; Frémond, Michel 1 2014 Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions. Zbl 1270.35275Calatroni, Luca; Colli, Pierluigi 33 2013 An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 10 2013 Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 9 2013 The motion of a solid with large deformations. Zbl 1273.74021Bonetti, Elena; Colli, Pierluigi; Frémond, Michel 3 2013 Convergence properties for a generalization of the Caginalp phase field system. Zbl 1278.35163Canevari, Giacomo; Colli, Pierluigi 3 2013 Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system. Zbl 1241.35155Colli, Pierluigi; Frigeri, Sergio; Grasselli, Maurizio 39 2012 Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 20 2012 Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 16 2012 Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 8 2012 Global existence for a hydrogen storage model with full energy balance. Zbl 1238.35159Bonetti, Elena; Colli, Pierluigi; Laurençot, Philippe 7 2012 Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility. Zbl 1292.35297Colli, P.; Gilardi, G.; Podio-Guidugli, P.; Sprekels, J. 5 2012 Solvability and asymptotic analysis of a generalization of the Caginalp phase field system. Zbl 1275.80003Canevari, Giacomo; Colli, Pierluigi 3 2012 A phase-field approximation of the Willmore flow with volume and area constraints. Zbl 1262.35120Colli, Pierluigi; Laurençot, Philippe 3 2012 Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 20 2011 A phase-field approximation of the Willmore flow with volume constraint. Zbl 1233.35110Colli, Pierluigi; Laurençot, Philippe 2 2011 A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity. Zbl 1221.35190Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 2 2011 Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 5 2010 A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 4 2010 Existence and boundedness of solutions for a singular phase field system. Zbl 1170.35443Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni 6 2009 Long time convergence for a class of variational phase-field models. Zbl 1178.35065Colli, Pierluigi; Hilhorst, Danielle; Issard-Roch, Françoise; Schimperna, Giulio 3 2009 Nonlinear evolution inclusions arising from phase change models. Zbl 1174.35021Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 21 2007 Global solution to a singular integro-differential system related to the entropy balance. Zbl 1128.35056Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni 15 2007 Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity. Zbl 1123.35309Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni 13 2006 Attractors for a three-dimensional thermo-mechanical model of shape memory alloys. Zbl 1133.35323Colli, Pierluigi; Frémond, Michel; Rocca, Elisabetta; Shirakawa, Ken 4 2006 On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio 7 2004 Attractors for the one-dimensional Frémond model of shape memory alloys. Zbl 1069.35014Colli, Pierluigi; Shirakawa, Ken 2 2004 A phase field model with thermal memory governed by the entropy balance. Zbl 1053.80009Bonetti, Elena; Colli, Pierluigi; Fremond, Michel 16 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 1013.00023Colli, Pierluigi (ed.); Rodrigues, José-Francisco (ed.) 3 2003 Global existence for a class of generalized systems for irreversible phase changes. Zbl 1004.35061Colli, Pierluigi; Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 21 2002 On a model for phase separation in binary alloys driven by mechanical effects. Zbl 1008.74066Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen 18 2002 Convergence to the Stefan problem of the phase relaxation problem with Cattaneo heat flux law. Zbl 1034.35158Colli, Pierluigi; Recupero, Vincenzo 4 2002 On a parabolic-hyperbolic Penrose-Fife phase-field system. Zbl 1011.35038Colli, Pierluigi; Grasselli, Maurizio; Ito, Akio 3 2002 A phase-field model with temperature dependent constraint. Zbl 0980.35074Colli, Pierluigi; Kenmochi, Nobuyuki; Kubo, Masahiro 21 2001 The conserved phase-field system with memory. Zbl 0982.80006Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G. 14 2001 Optimal control problems of phase relaxation models. Zbl 1008.49003Barbu, V.; Bernardi, M. L.; Colli, P.; Gilardi, G. 7 2001 Global existence of a solution to a phase field model for supercooling. Zbl 0998.80005Colli, Pierluigi; Frémond, Michel; Klein, Olaf 6 2001 Global existence for the conserved phase field model with memory and quadratic nonlinearity. Zbl 0985.35094Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G. 5 2001 Doubly nonlinear evolution equations with memory. Zbl 1154.35395Aizicovici, Sergiu; Colli, Pierluigi; Grasselli, Maurizio 4 2001 Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 13 2000 Long-time behavior for the full one-dimensional Frémond model for shape memory alloys. Zbl 1006.74074Colli, Pierluigi; Laurençot, Philippe; Stefanelli, Ulisse 4 2000 Degenerate nonlinear Volterra integrodifferential equations. Zbl 0957.45012Colli, Pierluigi; Grasselli, Maurizio 3 2000 Uniqueness and long-time behavior for the conserved phase-field system with memory. Zbl 0981.74012Colli, Pierluigi; Gilardi, Gianni; Laurençot, Philippe; Novick-Cohen, Amy 11 1999 Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier law. Zbl 0930.35036Colli, Pierluigi; Sprekels, Jürgen 11 1999 ...and 53 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 409 Authors 82 Colli, Pierluigi 43 Gilardi, Gianni 40 Rocca, Elisabetta 40 Sprekels, Jürgen 25 Schimperna, Giulio 22 Bonetti, Elena 20 Grasselli, Maurizio 20 Stefanelli, Ulisse 16 Krejčí, Pavel 13 Frémond, Michel 13 Rossi, Riccarda 13 Scarpa, Luca 12 Akagi, Goro 12 Fabrizio, Mauro 12 Fukao, Takeshi 12 Roubíček, Tomáš 11 Frigeri, Sergio 11 Garcke, Harald 11 Lam, Kei Fong 11 Miranville, Alain M. 10 Mielke, Alexander 9 Kubo, Masahiro 9 Marinoschi, Gabriela 9 Zheng, Jiashan 8 Gal, Ciprian Gheorghe Sorin 8 Signori, Andrea 7 Boldrini, José Luiz 7 Bonfanti, Giovanna 7 Kenmochi, Nobuyuki 7 Tomassetti, Giuseppe 7 Wu, Hao 6 Barbu, Viorel 6 Heinemann, Christian 6 Luterotti, Fabio 6 Segatti, Antonio 6 Wang, Yifu 5 Emmrich, Etienne 5 Feireisl, Eduard 5 Gurevich, Pavel L. 5 Hynd, Ryan 5 Kurima, Shunsuke 5 Laurençot, Philippe 5 Melchionna, Stefano 5 Shirakawa, Ken 5 Zhu, Peicheng 4 Aizicovici, Sergiu 4 Alber, Hans-Dieter 4 Berti, Valeria 4 Colturato, Michele 4 Davoli, Elisa 4 Ebenbeck, Matthias 4 Farshbaf-Shaker, Mohammad Hassan 4 Knopf, Patrik 4 Kraus, Christiane 4 Minchev, Emil 4 Moroşanu, Costică 4 Savaré, Giuseppe 4 Timoshin, Sergey A. 4 Tolstonogov, Aleksandr Aleksandrovich 4 Zelik, Sergey V. 4 Zheng, Songmu 3 Caretta, Bianca Morelli Calsavara 3 Cavaterra, Cecilia 3 Colombo, Fabrizio 3 Comincioli, Valeriano 3 Della Porta, Francesco 3 Deugoue, Gabriel 3 Dharmatti, Sheetal 3 Elliott, Charles M. 3 Gatti, Stefania 3 Giorgi, Claudio 3 Guidetti, Davide 3 Jiang, Jie 3 Lindgren, Erik 3 Liu, Chein-Shan 3 Naldi, Giovanni 3 Niezgódka, Marek 3 Petrov, Adrien 3 Planas, Gabriela 3 Tachim Medjo, Theodore 3 Thalhammer, Mechthild 3 Trussardi, Lara 3 Visintin, Augusto 3 Yamazaki, Noriaki 2 Aiki, Toyohiko 2 Allain, Geneviève 2 Aso, Masayasu 2 Bates, Peter W. 2 Bian, Wei 2 Bisegna, Paolo 2 Biswas, Tania 2 Bosia, Stefano 2 Bretin, Elie 2 Calsavara, Bianca Morelli Rodolfo 2 Calvo Schwarzwälder, Marc 2 Chemetov, Nikolai V. 2 De Miranda, Luís H. 2 Efendiev, Messoud 2 Eleuteri, Michela 2 Fritz, Marvin ...and 309 more Authors all top 5 Cited in 124 Serials 45 Journal of Mathematical Analysis and Applications 36 Journal of Differential Equations 27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Mathematical Methods in the Applied Sciences 18 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 15 Physica D 15 Nonlinear Analysis. Real World Applications 14 Applied Mathematics and Optimization 11 Discrete and Continuous Dynamical Systems. Series S 10 Discrete and Continuous Dynamical Systems 9 SIAM Journal on Control and Optimization 9 NoDEA. Nonlinear Differential Equations and Applications 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Archive for Rational Mechanics and Analysis 8 European Journal of Applied Mathematics 8 SIAM Journal on Mathematical Analysis 8 Nonlinear Analysis. Theory, Methods & Applications 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Applications of Mathematics 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 Journal of Evolution Equations 6 Evolution Equations and Control Theory 5 Nonlinearity 5 Asymptotic Analysis 5 Continuum Mechanics and Thermodynamics 5 Communications on Pure and Applied Analysis 4 International Journal of Control 4 Journal of Functional Analysis 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Mathematical Fluid Mechanics 4 Discrete and Continuous Dynamical Systems. Series B 4 Boundary Value Problems 4 Journal of Elliptic and Parabolic Equations 3 Journal of Optimization Theory and Applications 3 Meccanica 3 Quarterly of Applied Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 GAMM-Mitteilungen 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 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 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 Journal of Fixed Point Theory and Applications 2 Mathematical Control and Related Fields 2 Advances in Nonlinear Analysis 2 Bollettino dell’Unione Matematica Italiana 1 International Journal of Engineering Science 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 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 Optimization 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Sugaku Expositions 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Potential Analysis ...and 24 more Serials all top 5 Cited in 29 Fields 427 Partial differential equations (35-XX) 122 Mechanics of deformable solids (74-XX) 116 Classical thermodynamics, heat transfer (80-XX) 94 Calculus of variations and optimal control; optimization (49-XX) 69 Fluid mechanics (76-XX) 59 Operator theory (47-XX) 53 Biology and other natural sciences (92-XX) 50 Numerical analysis (65-XX) 45 Statistical mechanics, structure of matter (82-XX) 44 Integral equations (45-XX) 27 Ordinary differential equations (34-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Systems theory; control (93-XX) 12 Probability theory and stochastic processes (60-XX) 10 Optics, electromagnetic theory (78-XX) 10 Operations research, mathematical programming (90-XX) 9 Global analysis, analysis on manifolds (58-XX) 4 Functional analysis (46-XX) 3 Measure and integration (28-XX) 3 Geophysics (86-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Citations by Year