## European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations

 Short Title: ESAIM, Control Optim. Calc. Var. Parallel Title: Contrôle, Optimisation et Calcul des Variations Publisher: EDP Sciences, Les Ulis; Société de Mathématiques Appliquées et Industrielles (SMAI), Institut Henri Poincaré, Paris ISSN: 1292-8119; 1262-3377/e Online: https://www.esaim-cocv.org/component/issues/?task=all&Itemid=121http://www.numdam.org/journals/COCV Comments: Indexed cover-to-cover
 Documents Indexed: 1,350 Publications (since 1995) References Indexed: 1,165 Publications with 31,955 References.
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### Latest Issues

 28 (2022) 27, Suppl. (2021) 27 (2021) 26 (2020) 25 (2019) 24, No. 4 (2018) 24, No. 3 (2018) 24, No. 2 (2018) 24, No. 1 (2018) 23, No. 4 (2017) 23, No. 3 (2017) 23, No. 2 (2017) 23, No. 1 (2017) 22, No. 4 (2016) 22, No. 3 (2016) 22, No. 2 (2016) 22, No. 1 (2016) 21, No. 4 (2015) 21, No. 3 (2015) 21, No. 2 (2015) 21, No. 1 (2015) 20, No. 4 (2014) 20, No. 3 (2014) 20, No. 2 (2014) 20, No. 1 (2014) 19, No. 4 (2013) 19, No. 3 (2013) 19, No. 2 (2013) 19, No. 1 (2013) 18, No. 4 (2012) 18, No. 3 (2012) 18, No. 2 (2012) 18, No. 1 (2012) 17, No. 4 (2011) 17, No. 3 (2011) 17, No. 2 (2011) 17, No. 1 (2011) 16, No. 4 (2010) 16, No. 3 (2010) 16, No. 2 (2010) 16, No. 1 (2010) 15, No. 4 (2009) 15, No. 3 (2009) 15, No. 2 (2009) 15, No. 1 (2009) 14, No. 4 (2008) 14, No. 3 (2008) 14, No. 2 (2008) 14, No. 1 (2008) 13, No. 4 (2007) 13, No. 3 (2007) 13, No. 2 (2007) 13, No. 1 (2007) 12 (2006) 11 (2005) 10 (2004) 9 (2003) 8 (2002) 7 (2002) 6 (2001) 5 (2000) 4 (1999) 3 (1998) 2 (1997) 1 (1996)
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### Authors

 19 Kunisch, Karl 14 Casas, Eduardo 12 Fernández-Cara, Enrique 10 Bonnard, Bernard 10 Tröltzsch, Fredi 9 Guo, Bao-Zhu 9 Puel, Jean-Pierre 9 Raymond, Jean-Pierre 8 Kružík, Martin 8 Li, Tatsien 7 Agrachev, Andreĭ Aleksandrovich 7 Carlier, Guillaume 7 Guerrero, Sergio 7 Privat, Yannick 7 Rosier, Lionel 7 Tucsnak, Marius 7 Yong, Jiongmin 6 Allaire, Grégoire 6 Amstutz, Samuel 6 Barbu, Viorel 6 Bressan, Alberto 6 Buttazzo, Giuseppe 6 Fonseca, Irene 6 Fusco, Nicola 6 Gugat, Martin 6 Hintermüller, Michael 6 Imanuvilov, Oleg Yu. 6 Karafyllis, Iasson 6 Krstić, Miroslav 6 Leugering, Günter 6 Nicaise, Serge 6 Rao, Bopeng 6 Sachkov, Yuriĭ Leonidovich 6 Takahashi, Takéo 6 Trélat, Emmanuel 6 Zidani, Hasnaa 5 Boscain, Ugo 5 Braides, Andrea 5 Cannarsa, Piermarco 5 Chambolle, Antonin 5 de Teresa, Luz 5 Fliess, Michel 5 Frankowska, Hélène 5 Glowinski, Roland 5 Henrot, Antoine 5 Lebeau, Gilles 5 Moireau, Philippe 5 Münch, Arnaud 5 Rouchon, Pierre 5 Teel, Andrew Richard 5 Vanninathan, Muthusamy 5 Yu, Zhiyong 4 Ancona, Fabio 4 Bardi, Martino 4 Beauchard, Karine 4 Bergounioux, Maïtine 4 Bettiol, Piernicola 4 Bonnans, Joseph Frédéric 4 Casado-Díaz, Juan 4 Cesaroni, Annalisa 4 Chitour, Yacine 4 Clason, Christian 4 Coron, Jean-Michel 4 Dambrine, Marc 4 Ervedoza, Sylvain 4 Fragalà, Ilaria 4 Garcke, Harald 4 Gaudiello, Antonio 4 Gomes, Diogo Luís Aguiar 4 Horsin, Thierry 4 Hu, Long 4 Huang, Jianhui 4 Kao, Chiu-Yen 4 Kavian, Otared 4 Khapalov, Alexander Yuri 4 Krömer, Stefan 4 Li, Juan 4 Liu, Yungang 4 Lorent, Andrew 4 Loreti, Paola 4 Lü, Qi 4 Martinez, Patrick 4 Mielke, Alexander 4 Monneau, Régis 4 Novaga, Matteo 4 Osses, Axel 4 Oudet, Edouard 4 Passarelli di Napoli, Antonia 4 Pazoto, Ademir Fernando 4 Pedregal, Pablo 4 Pfeiffer, Laurent 4 Piatnitski, Andrey L. 4 Pomet, Jean-Baptiste 4 Prieur, Christophe 4 Ryan, Eugene P. 4 Santambrogio, Filippo 4 Sun, Jingrui 4 Tahraoui, Rabah 4 Tessitore, Gianmario 4 Valdinoci, Enrico ...and 1,686 more Authors
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### Fields

 701 Calculus of variations and optimal control; optimization (49-XX) 670 Partial differential equations (35-XX) 474 Systems theory; control (93-XX) 164 Mechanics of deformable solids (74-XX) 120 Numerical analysis (65-XX) 99 Operations research, mathematical programming (90-XX) 96 Fluid mechanics (76-XX) 90 Ordinary differential equations (34-XX) 90 Probability theory and stochastic processes (60-XX) 79 Operator theory (47-XX) 65 Differential geometry (53-XX) 60 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Global analysis, analysis on manifolds (58-XX) 41 Dynamical systems and ergodic theory (37-XX) 35 Real functions (26-XX) 32 Statistical mechanics, structure of matter (82-XX) 31 Functional analysis (46-XX) 27 Mechanics of particles and systems (70-XX) 22 Biology and other natural sciences (92-XX) 21 Optics, electromagnetic theory (78-XX) 17 Computer science (68-XX) 15 Quantum theory (81-XX) 13 Measure and integration (28-XX) 12 Topological groups, Lie groups (22-XX) 12 Integral equations (45-XX) 11 Convex and discrete geometry (52-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Information and communication theory, circuits (94-XX) 7 Functions of a complex variable (30-XX) 7 Difference and functional equations (39-XX) 6 Potential theory (31-XX) 6 Approximations and expansions (41-XX) 4 Combinatorics (05-XX) 4 General topology (54-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Nonassociative rings and algebras (17-XX) 3 Integral transforms, operational calculus (44-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

1,092 Publications have been cited 10,581 times in 8,268 Documents Cited by Year
Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain. Zbl 0873.93008
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1997
Stabilization of wave systems with input delay in the boundary control. Zbl 1105.35016
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2006
A new method to obtain decay rate estimates for dissipative systems. Zbl 0923.35027
Martinez, Patrick
1999
On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations. Zbl 1262.35206
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2012
A level-set approach for inverse problems involving obstacles. Zbl 0870.49016
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Design-dependent loads in topology optimization. Zbl 1066.49029
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2003
Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions. Zbl 0927.34034
Bacciotti, Andrea; Ceragioli, Francesca
1999
Stabilization of second order evolution equations by a class of unbounded feedbacks. Zbl 0992.93039
Ammari, Kais; Tucsnak, Marius
2001
Remarks on exact controllability for the Navier-Stokes equations. Zbl 0961.35104
Imanuvilov, Oleg Yu.
2001
On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions. Zbl 0872.93040
Coron, Jean-Michel
1996
Characterizations of error bounds for lower semicontinuous functions on metric spaces. Zbl 1085.49019
Azé, Dominique; Corvellec, Jean-Noël
2004
New Farkas-type constraint qualifications in convex infinite programming. Zbl 1126.90059
Dinh, Nguyen; Goberna, Miguel A.; López, Marco A.; Son, Ta Quang
2007
Boundary layer tails in periodic homogenization. Zbl 0922.35014
Allaire, Grégoire; Amar, Micol
1999
Weak linking theorems and Schrödinger equations with critical Sobolev exponent. Zbl 1173.35482
Schechter, Martin; Zou, Wenming
2003
A smooth Lyapunov function from a class-$$\mathcal{KL}$$ estimate involving two positive semidefinite functions. Zbl 0953.34042
Teel, Andrew R.; Praly, Laurent
2000
A positive solution for an asymptotically linear elliptic problem on $$\mathbb R^{N}$$ autonomous at infinity. Zbl 1225.35088
Jeanjean, Louis; Tanaka, Kazunaga
2002
BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
2012
Mean field games systems of first order. Zbl 1319.35273
Cardaliaguet, Pierre; Graber, P. Jameson
2015
On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications. Zbl 1143.35037
Diening, Lars; Málek, Josef; Steinhauer, Mark
2008
Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027
Gérard, P.
1998
Inverse problems in spaces of measures. Zbl 1266.65083
Bredies, Kristian; Pikkarainen, Hanna Katriina
2013
Control of the continuity equation with a non local flow. Zbl 1232.35176
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali
2011
A duality-based approach to elliptic control problems in non-reflexive Banach spaces. Zbl 1213.49041
Clason, Christian; Kunisch, Karl
2011
An algebraic framework for linear identification. Zbl 1063.93014
Fliess, Michel; Sira-Ramírez, Hebertt
2003
An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints. Zbl 1157.65039
Hintermüller, Michael; Hoppe, Ronald H. W.; Iliash, Yuri; Kieweg, Michael
2008
Unique continuation and decay for the Korteweg-de Vries equation with localized damping. Zbl 1148.35348
2005
Null controllability of the heat equation with boundary Fourier conditions: the linear case. Zbl 1106.93009
Fernández-Cara, Enrique; González-Burgos, Manuel; Guerrero, Sergio; Puel, Jean-Pierre
2006
Exact boundary controllability of 3-D Euler equation. Zbl 0940.93012
Glass, Olivier
2000
Convergence and regularization results for optimal control problems with sparsity functional. Zbl 1228.49032
Wachsmuth, Gerd; Wachsmuth, Daniel
2011
A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010
Braides, Andrea; Fonseca, Irene; Leoni, Giovanni
2000
Dirichlet problems with singular and gradient quadratic lower order terms. Zbl 1147.35034
Boccardo, Lucio
2008
Combined effects for fractional Schrödinger-Kirchhoff systems with critical nonlinearities. Zbl 1453.35184
Xiang, Mingqi; Rădulescu, Vicenţiu D.; Zhang, Binlin
2018
Mean-field optimal control. Zbl 1305.49004
Fornasier, Massimo; Solombrino, Francesco
2014
Tracking with prescribed transient behaviour. Zbl 1044.93022
Ilchmann, Achim; Ryan, E. P.; Sangwin, C. J.
2002
A Hamilton-Jacobi approach to junction problems and application to traffic flows. Zbl 1262.35080
Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa
2013
Maxwell strata in sub-Riemannian problem on the group of motions of a plane. Zbl 1217.49037
Moiseev, Igor; Sachkov, Yuri L.
2010
Null controllability of the semilinear heat equation. Zbl 0897.93011
Fernández-Cara, E.
1997
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
2002
Stabilization of second order evolution equations with unbounded feedback with delay. Zbl 1217.93144
Nicaise, Serge; Valein, Julie
2010
Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems. Zbl 1040.93031
Xu, Cheng-Zhong; Sallet, Gauthier
2002
Error estimates for the numerical approximation of semilinear elliptic control problems with finitely many state constraints. Zbl 1066.49018
Casas, Eduardo
2002
Control of the surface of a fluid by a wavemaker. Zbl 1094.93014
Rosier, Lionel
2004
Remarks on non controllability of the heat equation with memory. Zbl 1258.93026
Guerrero, Sergio; Imanuvilov, Oleg Yurievich
2013
The pseudo-$$p$$-Laplace eigenvalue problem and viscosity solutions as $$p\to\infty$$. Zbl 1092.35074
Belloni, Marino; Kawohl, Bernd
2004
On the controllability of the Burger equation. Zbl 0897.93034
Horsin, T.
1998
Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients. Zbl 1092.93006
Doubova, Anna; Osses, A.; Puel, J.-P.
2002
Gradient flows of non convex functionals in Hilbert spaces and applications. Zbl 1116.34048
Rossi, Riccarda; Savaré, Giuseppe
2006
Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane. Zbl 1251.49057
Sachkov, Yuri L.
2011
Ground states for fractional magnetic operators. Zbl 1400.49059
d’Avenia, Pietro; Squassina, Marco
2018
Patchy vector fields and asymptotic stabilization. Zbl 0924.34058
Ancona, Fabio; Bressan, Alberto
1999
Discrete mechanics and optimal control: an analysis. Zbl 1357.49120
Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E.
2011
Scaling laws for non-Euclidean plates and the $$W^{2,2}$$ isometric immersions of Riemannian metrics. Zbl 1300.74028
2011
Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane. Zbl 1208.49003
Sachkov, Yuri L.
2010
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. Zbl 1357.49043
Mielke, Alexander; Ortiz, Michael
2008
Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014
Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel
2007
Regularization of linear least squares problems by total bounded variation. Zbl 0890.49010
Chavent, G.; Kunisch, K.
1997
Numerical minimization of eigenmodes of a membrane with respect to the domain. Zbl 1076.74045
Oudet, Édouard
2004
Variational approach to shape derivatives. Zbl 1357.49148
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
2008
Time-dependent mean-field games in the superquadratic case. Zbl 1339.35090
Gomes, Diogo A.; Pimentel, Edgard; Sánchez-Morgado, Héctor
2016
Multiplicity and concentration behavior of positive solutions for a Schrödinger-Kirchhoff type problem via penalization method. Zbl 1298.35084
Figueiredo, Giovany M.; Santos, João R. jun.
2014
Sub-Riemannian sphere in Martinet flat case. Zbl 0902.53033
Agrachev, A.; Bonnard, B.; Chyba, M.; Kupka, I.
1997
Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations. Zbl 1111.49017
Tröltzsch, Fredi; Wachsmuth, Daniel
2006
Curl bounds grad on $$\mathrm{SO}(3)$$. Zbl 1139.74008
Neff, Patrizio; Münch, Ingo
2008
How to get a conservative well-posed linear system out of thin air. I: Well-posedness and energy balance. Zbl 1063.93026
Weiss, George; Tucsnak, Marius
2003
Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090
Gugat, Martin; Herty, Michaël
2011
Multi-phase structural optimization via a level set method. Zbl 1287.49045
Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G.
2014
On the curvature and torsion effects in one-dimensional waveguides. Zbl 1139.49043
Bouchitté, Guy; Mascarenhas, M. Luísa; Trabucho, Luís
2007
Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054
De Gournay, Frédéric; Allaire, Grégoire; Jouve, François
2008
Multiplicity and concentration of positive solutions for the fractional Schrödinger-Poisson systems with critical growth. Zbl 06811887
Liu, Zhisu; Zhang, Jianjun
2017
Biaxiality in the asymptotic analysis of a 2D Landau-de Gennes model for liquid crystals. Zbl 1311.35209
Canevari, Giacomo
2015
Néel and cross-tie wall energies for planar micromagnetic configurations. Zbl 1092.82047
Alouges, François; Rivière, Tristan; Serfaty, Sylvia
2002
Single input controllability of a simplified fluid-structure interaction model. Zbl 1270.35259
Liu, Yuning; Takahashi, Takéo; Tucsnak, Marius
2013
Controllability and observability of linear delay systems: An algebraic approach. Zbl 0908.93013
Fliess, M.; Mounier, H.
1998
On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032
Desvillettes, L.; Villani, Cédric
2002
Stabilization of Timoshenko beam by means of pointwise controls. Zbl 1068.93024
Xu, Gen-Qi; Yung, Siu Pang
2003
Spatially-distributed coverage optimization and control with limited-range interactions. Zbl 1080.90070
Cortés, Jorge; Martínez, Sonia; Bullo, Francesco
2005
Towards a two-scale calculus. Zbl 1110.35009
Visintin, Augusto
2006
Overdetermined problems with fractional Laplacian. Zbl 1329.35223
Fall, Mouhamed Moustapha; Jarohs, Sven
2015
On singular elliptic equations with measure sources. Zbl 1337.35060
Oliva, Francescantonio; Petitta, Francesco
2016
The equivalence of controlled Lagrangian and controlled Hamiltonian systems. Zbl 1070.70013
Chang, Dong Eui; Bloch, Anthony M.; Leonard, Naomi E.; Marsden, Jerrold E.; Woolsey, Craig A.
2002
Feedback stabilization of Navier-Stokes equations. Zbl 1076.93037
Barbu, Viorel
2003
Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions. Zbl 1221.35393
Cingolani, Silvia; Jeanjean, Louis; Secchi, Simone
2009
Clocks and insensitivity to small measurement errors. Zbl 0984.93068
Sontag, Eduardo D.
1999
On some nonlinear partial differential equations involving the $$1"$$-Laplacian and critical Sobolev exponent. Zbl 0939.35070
Demengel, Françoise
1999
Homogenization of the compressible Navier-Stokes equations in a porous medium. Zbl 1071.76047
2002
Uniqueness of renormalized solutions to nonlinear elliptic equations with a lower order term and right-hand side in $$L^1(\Omega)$$. Zbl 1092.35032
Betta, M. F.; Mercaldo, A.; Murat, F.; Porzio, M. M.
2002
Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain. Zbl 1202.93064
Zwart, Hans; Le Gorrec, Yann; Maschke, Bernhard; Villegas, Javier
2010
New regularity results and improved error estimates for optimal control problems with state constraints. Zbl 1293.49044
Casas, Eduardo; Mateos, Mariano; Vexler, Boris
2014
Time optimal control of the heat equation with pointwise control constraints. Zbl 1272.35109
Kunisch, Karl; Wang, Lijuan
2013
Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems. Zbl 0872.93039
Fabre, Caroline
1996
Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume. Zbl 1075.78010
Ammari, Habib; Moskow, Shari; Vogelius, Michael S.
2003
Carleman estimates for the nonstationary Lamé system and the application to an inverse problem. Zbl 1089.35086
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
2005
A Hölder infinity Laplacian. Zbl 1255.35078
Chambolle, Antonin; Lindgren, Erik; Monneau, Régis
2012
Equivalence of control systems with linear systems on Lie groups and homogeneous spaces. Zbl 1210.93024
Jouan, Philippe
2010
Indirect stabilization of locally coupled wave-type systems. Zbl 1259.35034
Alabau-Boussouira, Fatiha; Léautaud, Matthieu
2012
Bellman equation and viscosity solutions for mean-field stochastic control problem. Zbl 1396.93134
Pham, Huyên; Wei, Xiaoli
2018
Enhanced electrical impedance tomography via the Mumford-Shah functional. Zbl 0989.35136
2001
Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. Zbl 1071.76012
Coron, Jean-Michel
2002
Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks. Zbl 1282.93055
Liu, Yang; Lu, Jianquan; Wu, Bo
2014
The topological asymptotic for the Navier-Stokes equations. Zbl 1123.35040
Amstutz, Samuel
2005
A consensus-based global optimization method for high dimensional machine learning problems. Zbl 1480.60195
Carrillo, José A.; Jin, Shi; Li, Lei; Zhu, Yuhua
2021
Neumann and Robin type boundary conditions in fractional Orlicz-Sobolev spaces. Zbl 1470.35387
Bahrouni, Sabri; Salort, Ariel M.
2021
Linear hyperbolic systems on networks: well-posedness and qualitative properties. Zbl 07369225
Fijavž, Marjeta Kramar; Mugnolo, Delio; Nicaise, Serge
2021
Regularity results for a class of obstacle problems with $$p, q$$-growth conditions. Zbl 1468.35068
Caselli, M.; Eleuteri, M.; Di Napoli, A. Passarelli
2021
Time-inconsistent stochastic optimal control problems and backward stochastic Volterra integral equations. Zbl 1467.93339
Wang, Hanxiao; Yong, Jiongmin
2021
Approximation of null controls for semilinear heat equations using a least-squares approach. Zbl 1468.35086
Lemoine, Jérôme; Marín-Gayte, Irene; Münch, Arnaud
2021
Long time behavior and turnpike solutions in mildly non-monotone mean field games. Zbl 1471.91028
Cirant, Marco; Porretta, Alessio
2021
Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry. Zbl 1477.53047
Ardentov, A. A.; Lokutsievskiy, L. V.; Sachkov, Yu. L.
2021
New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints. Zbl 1473.35609
Christof, Constantin; Vexler, Boris
2021
An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams. Zbl 1467.49032
Buttazzo, Giuseppe; Pratelli, Aldo
2021
Sparse optimal control of a phase field system with singular potentials arising in the modeling of tumor growth. Zbl 1475.35365
Sprekels, Jürgen; Tröltzsch, Fredi
2021
Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation. Zbl 07369232
Kunisch, Karl; Walter, Daniel
2021
Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems. Zbl 1481.65218
Oudet, Édouard; Kao, Chiu-Yen; Osting, Braxton
2021
The turnpike property in semilinear control. Zbl 1473.49044
Pighin, Dario
2021
Symmetry results for variational energies on convex polygons. Zbl 1468.49047
Bucur, Dorin; Fragalà, Ilaria
2021
Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation. Zbl 1473.35435
Bianchini, Roberta; Natalini, Roberto
2021
Numerical reconstruction based on Carleman estimates of a source term in a reaction-diffusion equation. Zbl 1468.35237
Boulakia, Muriel; De Buhan, Maya; Schwindt, Erica L.
2021
Least gradient functions in metric random walk spaces. Zbl 1483.60068
Górny, Wojciech; Mazón, José M.
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
Optimization of spatial control strategies for population replacement, application to Wolbachia. Zbl 1471.92250
Duprez, Michel; Hélie, Romane; Privat, Yannick; Vauchelet, Nicolas
2021
Boundary controllability of a system modelling a partially immersed obstacle. Zbl 1473.35358
Vergara-Hermosilla, G.; Leugering, G.; Wang, Y.
2021
A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases. Zbl 1479.35594
Craciun, Gheorghe; Tran, Minh-Binh
2021
One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates. Zbl 1473.35354
Chitour, Yacine; Marx, Swann; Mazanti, Guilherme
2021
A policy iteration method for mean field games. Zbl 1473.49043
Cacace, Simone; Camilli, Fabio; Goffi, Alessandro
2021
Singular perturbations and optimal control of stochastic systems in infinite dimension: HJB equations and viscosity solutions. Zbl 1468.35242
Święch, Andrzej
2021
Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions. Zbl 1467.93041
Li, Tatsien; Rao, Bopeng
2021
Optimization of non-cylindrical domains for the exact null controllability of the 1D wave equation. Zbl 1467.49031
Bottois, Arthur; Cîndea, Nicolae; Münch, Arnaud
2021
First and second order optimality conditions for the control of Fokker-Planck equations. Zbl 1467.49002
2021
Global gradient estimates for nonlinear parabolic operators. Zbl 1469.35068
Dipierro, Serena; Gao, Zu; Valdinoci, Enrico
2021
Regularity for the planar optimal $$p$$-compliance problem. Zbl 1469.49041
Bulanyi, Bohdan; Lemenant, Antoine
2021
Space of signatures as inverse limits of Carnot groups. Zbl 07369249
Le Donne, Enrico; Züst, Roger
2021
Linear convergence of accelerated conditional gradient algorithms in spaces of measures. Zbl 1483.65089
Pieper, Konstantin; Walter, Daniel
2021
Erratum to: “Cylindrical optimal rearrangement problem leading to a new type obstacle problem”. Zbl 1464.49002
Mikayelyan, Hayk
2021
Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances. Zbl 1467.93272
Schmid, Jochen; Zwart, Hans
2021
Outer invariance entropy for discrete-time linear systems on Lie groups. Zbl 1467.93202
Colonius, Fritz; Cossich, João A. N.; Santana, Alexandre J.
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Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping. Zbl 1468.35020
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No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation. Zbl 1467.49017
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Convergence of the natural $$p$$-means for the $$p$$-Laplacian. Zbl 1479.35486
Manfredi, Juan J.; Stroffolini, Bianca
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Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs. Zbl 1467.49037
Grüne, Lars; Schaller, Manuel; Schiela, Anton
2021
Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains. Zbl 1475.35226
Casas, Eduardo; Kunisch, Karl
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Numerical approximation of the averaged controllability for the wave equation with unknown velocity of propagation. Zbl 1481.65194
Abdelli, Mouna; Castro, Carlos
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Some isoperimetric inequalities with respect to monomial weights. Zbl 1468.39012
Alvino, Angelo; Brock, Friedemann; Chiacchio, Francesco; Mercaldo, Anna; Posteraro, Maria Rosaria
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Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. Zbl 1467.49034
Henrot, Antoine; Mazari, Idriss; Privat, Yannick
2021
Exact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controls. Zbl 1470.93026
Li, Tatsien; Lu, Xing; Rao, Bopeng
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Stabilization of the response of cyclically loaded lattice spring models with plasticity. Zbl 07369299
Gudoshnikov, Ivan; Makarenkov, Oleg
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A Zermelo navigation problem with a vortex singularity. Zbl 1467.49013
Bonnard, Bernard; Cots, Olivier; Wembe, Boris
2021
Huang, Jianhui; Wang, Bing-Chang; Xie, Tinghan
2021
Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation. Zbl 1468.35048
Christof, Constantin; Müller, Georg
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New perspectives on output feedback stabilization at an unobservable target. Zbl 1478.93498
Brivadis, Lucas; Gauthier, Jean-Paul; Sacchelli, Ludovic; Serres, Ulysse
2021
Hyperbolic Maxwell variational inequalities of the second kind. Zbl 1446.35079
Yousept, Irwin
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Improved regularity assumptions for partial outer convexification of mixed-integer PDE-constrained optimization problems. Zbl 1439.49023
Manns, Paul; Kirches, Christian
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Optimal control of fractional semilinear PDEs. Zbl 1439.49008
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Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints. Zbl 1447.49035
Bergounioux, Maïtine; Bourdin, Loïc
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Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth. Zbl 1451.35233
Ebenbeck, Matthias; Knopf, Patrik
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External optimal control of fractional parabolic PDEs. Zbl 1444.35144
Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi
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Optimal control of stochastic phase-field models related to tumor growth. Zbl 1459.35415
Orrieri, Carlo; Rocca, Elisabetta; Scarpa, Luca
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Towards a mathematical theory of behavioral swarms. Zbl 1459.82166
Bellomo, Nicola; Ha, Seung-Yeal; Outada, Nisrine
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Optimal control of higher order differential inclusions with functional constraints. Zbl 1447.49039
Mahmudov, Elimhan N.
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Multiplicity-induced-dominancy in parametric second-order delay differential equations: analysis and application in control design. Zbl 1453.34098
Boussaada, Islam; Niculescu, Silviu-Iulian; El-Ati, Ali; Pérez-Ramos, Redamy; Trabelsi, Karim
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Control of the Grushin equation: non-rectangular control region and minimal time. Zbl 1447.93025
Duprez, Michel; Koenig, Armand
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On mean field games models for exhaustible commodities trade. Zbl 1437.35664
Graber, Philip Jameson; Mouzouni, Charafeddine
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Optimal bilinear control problem related to a chemo-repulsion system in 2D domains. Zbl 1442.35189
Guillén-González, Francisco; Mallea-Zepeda, Exequiel; Rodríguez-Bellido, María Ángeles
2020
Minimizers of the prescribed curvature functional in a Jordan domain with no necks. Zbl 1459.49029
Leonardi, Gian Paolo; Saracco, Giorgio
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Metric sub-regularity in optimal control of affine problems with free end state. Zbl 1448.49033
Osmolovskii, N. P.; Veliov, V. M.
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Sharp estimates and homogenization of the control cost of the heat equation on large domains. Zbl 1451.35241
Nakić, Ivica; Täufer, Matthias; Tautenhahn, Martin; Veselić, Ivan
2020
Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states. Zbl 1441.93026
Floridia, G.; Nitsch, C.; Trombetti, C.
2020
Stochastic filtering and optimal control of pure jump Markov processes with noise-free partial observation. Zbl 1441.93309
Calvia, Alessandro
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Regularity of the minimiser of one-dimensional interaction energies. Zbl 1434.74057
Kimura, M.; van Meurs, P.
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Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications. Zbl 1446.35085
Abatangelo, L.; Felli, V.; Léna, C.
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Risk-averse optimal control of semilinear elliptic PDEs. Zbl 1448.49006
Kouri, D. P.; Surowiec, T. M.
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Non null controllability of Stokes equations with memory. Zbl 1451.93023
Fernández-Cara, Enrique; Machado, José Lucas F.; Souza, Diego A.
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The cost of controlling strongly degenerate parabolic equations. Zbl 1442.93016
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
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The analytical solution of Newton’s aerodynamic problem in the class of bodies with vertical plane of symmetry and developable side boundary. Zbl 1439.49058
Lokutsievskiy, L. V.; Zelikin, M. I.
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On $$L^\infty$$ stabilization of diagonal semilinear hyperbolic systems by saturated boundary control. Zbl 1441.93241
Dus, Mathias; Ferrante, Francesco; Prieur, Christophe
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Stochastic linear quadratic Stackelberg differential game with overlapping information. Zbl 1461.91032
Shi, Jingtao; Wang, Guangchen; Xiong, Jie
2020
A simplified derivation technique of topological derivatives for quasi-linear transmission problems. Zbl 1459.49027
Gangl, Peter; Sturm, Kevin
2020
Sharp stability for the Riesz potential. Zbl 1473.26036
Fusco, Nicola; Pratelli, Aldo
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Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys. Zbl 1459.49004
Conti, Sergio; Diermeier, Johannes; Melching, David; Zwicknagl, Barbara
2020
Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space. Zbl 1470.93137
Coron, Jean-Michel; Nguyen, Hoai-Minh
2020
Quasistatic evolution for dislocation-free finite plasticity. Zbl 1465.35373
Kružík, Martin; Melching, David; Stefanelli, Ulisse
2020
Analysis of the controllability from the exterior of strong damping nonlocal wave equations. Zbl 1446.35258
2020
Minimal time sliding mode control for evolution equations in Hilbert spaces. Zbl 1450.35090
Marinoschi, Gabriela
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A minimisation problem in $$L^\infty$$ with PDE and unilateral constraints. Zbl 1451.35240
Katzourakis, Nikos
2020
Sparse and switching infinite horizon optimal controls with mixed-norm penalizations. Zbl 1454.49004
Kalise, Dante; Kunisch, Karl; Rao, Zhiping
2020
Global minima for optimal control of the obstacle problem. Zbl 1448.49004
2020
A stochastic maximum principle for switching diffusions using conditional mean-fields with applications to control problems. Zbl 1460.60082
Nguyen, Son L.; Nguyen, Dung T.; Yin, George
2020
On the observability inequality of coupled wave equations: the case without boundary. Zbl 1441.35156
Cui, Yan; Laurent, Camille; Wang, Zhiqiang
2020
Thresholding gradient methods in Hilbert spaces: support identification and linear convergence. Zbl 07198291
Garrigos, Guillaume; Rosasco, Lorenzo; Villa, Silvia
2020
On the continuity of the trace operator in GSBV$$(\Omega)$$ and GSBD$$(\Omega)$$. Zbl 1453.46036
Tasso, Emanuele
2020
Lipschitz continuity of the eigenfunctions on optimal sets for functionals with variable coefficients. Zbl 1459.35027
Trey, Baptiste
2020
The minimal time function associated with a collection of sets. Zbl 1459.49008
Nguyen, Luong V.; Qin, Xiaolong
2020
Optimal control for controllable stochastic linear systems. Zbl 1459.49019
Bi, Xiuchun; Sun, Jingrui; Xiong, Jie
2020
Dynamic programming and feedback analysis of the two dimensional tidal dynamics system. Zbl 1459.49016
Mohan, Manil Thankamani
2020
Zero-sum risk-sensitive stochastic differential games with reflecting diffusions in the orthant. Zbl 1459.91010
2020
Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems. Zbl 1461.93416
Li, Tatsien; Rao, Bopeng
2020
Calibrations for minimal networks in a covering space setting. Zbl 1479.49094
Carioni, Marcello; Pluda, Alessandra
2020
On closed-loop equilibrium strategies for mean-field stochastic linear quadratic problems. Zbl 1442.93048
Wang, Tianxiao
2020
A non-homogeneous boundary value problem for the Kuramoto-Sivashinsky equation posed in a finite interval. Zbl 1446.35049
Li, Jing; Zhang, Bing-Yu; Zhang, Zhixiong
2020
Adaptive stabilization based on passive and swapping identifiers for a class of uncertain linearized Ginzburg-Landau equations. Zbl 1453.93198
Li, Jian; Liu, Yungang
2020
Necessary and sufficient conditions for the strong local minimality of $$C^1$$ extremals on a class of non-smooth domains. Zbl 1448.35179
Campos Cordero, Judith; Koumatos, Konstantinos
2020
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### Cited by 7,913 Authors

 64 Kunisch, Karl 49 Zuazua, Enrique 47 Fernández-Cara, Enrique 44 Trélat, Emmanuel 42 Xu, Gen-Qi 38 Casas, Eduardo 37 Ammari, Kais 36 Neff, Patrizio 36 Stefanelli, Ulisse 35 Coron, Jean-Michel 32 Guo, Bao-Zhu 31 Nicaise, Serge 30 Guerrero, Sergio 28 Sachkov, Yuriĭ Leonidovich 27 Gomes, Diogo Luís Aguiar 27 Münch, Arnaud 27 Rosier, Lionel 26 Cannarsa, Piermarco 26 Prieur, Christophe 26 Rossi, Julio Daniel 26 Rossi, Riccarda 25 Tang, Xianhua 25 Teel, Andrew Richard 24 Allaire, Grégoire 24 Karafyllis, Iasson 24 Pazoto, Ademir Fernando 23 Beauchard, Karine 23 Bonnard, Bernard 23 Cavalcanti, Marcelo Moreira 23 Kružík, Martin 23 Mielke, Alexander 22 Attouch, Hedy 22 Raymond, Jean-Pierre 21 Alves, Claudianor Oliveira 21 Ervedoza, Sylvain 21 Gaudiello, Antonio 21 Pedregal, Pablo 21 Sira-Ramírez, Hebertt J. 21 Takahashi, Takéo 20 Alabau-Boussouira, Fatiha 20 Ambrosio, Vincenzo 20 Cardaliaguet, Pierre 20 Grüne, Lars 20 Imanuvilov, Oleg Yu. 20 Katzourakis, Nikolaos I. 20 Li, Tatsien 20 Tröltzsch, Fredi 20 Wang, Junmin 19 Gugat, Martin 19 Han, Zhongjie 19 Hassine, Maatoug 19 Rösch, Arnd 19 Tucsnak, Marius 19 Wehbe, Ali 19 Yamamoto, Masahiro 18 Ayala, Victor 18 Bressan, Alberto 18 Domingos Cavalcanti, Valéria Neves 18 Hinze, Michael 18 López-Cerdá, Marco Antonio 18 Rao, Bopeng 18 Wang, Gengsheng 18 Zhang, Bingyu 17 Boscain, Ugo 17 Clason, Christian 17 de Teresa, Luz 17 Fliess, Michel 17 Hintermüller, Michael 17 Krstić, Miroslav 17 Le Rousseau, Jérôme H. 17 Leugering, Günter 17 Messaoudi, Salim A. 17 Micu, Sorin 17 Puel, Jean-Pierre 17 Santambrogio, Filippo 17 Valdinoci, Enrico 17 Wachsmuth, Daniel 16 Benabdallah, Assia 16 Chentouf, Boumediène 16 Dapogny, Charles 16 Gao, Hang 16 Glass, Olivier 16 Laurent, Camille 16 Maniar, Lahcen 16 Mustafa, Muhammad Islam 16 Orlandi, Giandomenico 16 Vexler, Boris 16 Zappale, Elvira 16 Zaslavski, Alexander Yakovlevich 15 Boccardo, Lucio 15 Cerpa, Eduardo 15 Feng, Baowei 15 Gauthier, Jean-Paul A. 15 Ignat, Radu 15 Léautaud, Matthieu 15 Motta, Monica 15 Novotny, Antonio André 15 Roubíček, Tomáš 15 Wang, Lijuan 15 Zidani, Hasnaa ...and 7,813 more Authors
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### Cited in 581 Journals

 446 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 301 Journal of Differential Equations 265 Journal of Mathematical Analysis and Applications 260 SIAM Journal on Control and Optimization 209 Automatica 200 Systems & Control Letters 200 Calculus of Variations and Partial Differential Equations 195 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 145 Archive for Rational Mechanics and Analysis 144 Journal de Mathématiques Pures et Appliquées. Neuvième Série 136 Journal of Optimization Theory and Applications 132 International Journal of Control 130 Applied Mathematics and Optimization 107 Comptes Rendus. Mathématique. Académie des Sciences, Paris 105 Mathematical Control and Related Fields 103 Applicable Analysis 102 Discrete and Continuous Dynamical Systems 96 SIAM Journal on Mathematical Analysis 93 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 85 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 82 Journal of Functional Analysis 77 Computer Methods in Applied Mechanics and Engineering 75 NoDEA. Nonlinear Differential Equations and Applications 70 ZAMP. Zeitschrift für angewandte Mathematik und Physik 70 Journal of Dynamical and Control Systems 69 Evolution Equations and Control Theory 66 Communications in Partial Differential Equations 61 Communications on Pure and Applied Analysis 59 Journal of Computational Physics 59 Journal of Mathematical Physics 56 MCSS. Mathematics of Control, Signals, and Systems 55 Computational Optimization and Applications 54 Nonlinear Analysis. Real World Applications 51 Discrete and Continuous Dynamical Systems. Series S 51 Set-Valued and Variational Analysis 50 Computers & Mathematics with Applications 49 Annali di Matematica Pura ed Applicata. Serie Quarta 49 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 45 Mathematical Methods in the Applied Sciences 45 Applied Mathematics and Computation 45 Numerische Mathematik 44 Mathematical Programming. Series A. Series B 44 Journal of Evolution Equations 42 Inverse Problems 41 Journal of the Franklin Institute 40 Acta Applicandae Mathematicae 38 SIAM Journal on Scientific Computing 37 Optimization 37 Communications in Contemporary Mathematics 36 Journal of Scientific Computing 36 Discrete and Continuous Dynamical Systems. Series B 35 Journal of Computational and Applied Mathematics 35 Applied Mathematics Letters 34 Numerical Functional Analysis and Optimization 34 Transactions of the American Mathematical Society 34 Journal of Elasticity 33 Boundary Value Problems 32 Nonlinearity 32 Journal of Nonlinear Science 32 Journal of Inverse and Ill-Posed Problems 32 European Journal of Control 32 Complex Variables and Elliptic Equations 31 Journal of Mathematical Sciences (New York) 30 Journal of the European Mathematical Society (JEMS) 30 Advances in Calculus of Variations 29 Asymptotic Analysis 29 SIAM Journal on Optimization 28 The Journal of Geometric Analysis 27 Advances in Nonlinear Analysis 26 Networks and Heterogeneous Media 25 SIAM Journal on Numerical Analysis 25 Chinese Annals of Mathematics. Series B 25 Mathematics and Mechanics of Solids 24 Communications in Mathematical Physics 24 Advances in Mathematics 23 Proceedings of the American Mathematical Society 23 Mathematical Problems in Engineering 23 Journal of Systems Science and Complexity 22 Journal of Global Optimization 22 SIAM Journal on Applied Mathematics 22 Journal of Mathematical Imaging and Vision 22 Differential Equations 22 Mediterranean Journal of Mathematics 22 Inverse Problems in Science and Engineering 21 International Journal of Robust and Nonlinear Control 21 Journal of Convex Analysis 21 Journal of Mathematical Fluid Mechanics 19 Communications on Pure and Applied Mathematics 19 Asian Journal of Control 18 Journal of Dynamics and Differential Equations 18 Abstract and Applied Analysis 18 Advances in Difference Equations 18 Nonlinear Analysis. Hybrid Systems 18 Journal of Geometric Mechanics 17 Applied Numerical Mathematics 17 Vietnam Journal of Mathematics 17 Multiscale Modeling & Simulation 17 Journal of Fixed Point Theory and Applications 16 Applied Mathematical Modelling 16 Advances in Computational Mathematics ...and 481 more Journals
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### Cited in 60 Fields

 4,461 Partial differential equations (35-XX) 2,593 Calculus of variations and optimal control; optimization (49-XX) 2,477 Systems theory; control (93-XX) 978 Mechanics of deformable solids (74-XX) 946 Numerical analysis (65-XX) 592 Operations research, mathematical programming (90-XX) 552 Fluid mechanics (76-XX) 440 Ordinary differential equations (34-XX) 411 Operator theory (47-XX) 348 Probability theory and stochastic processes (60-XX) 299 Differential geometry (53-XX) 290 Global analysis, analysis on manifolds (58-XX) 269 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 265 Dynamical systems and ergodic theory (37-XX) 218 Mechanics of particles and systems (70-XX) 207 Statistical mechanics, structure of matter (82-XX) 207 Biology and other natural sciences (92-XX) 185 Optics, electromagnetic theory (78-XX) 181 Functional analysis (46-XX) 139 Real functions (26-XX) 134 Information and communication theory, circuits (94-XX) 115 Computer science (68-XX) 114 Quantum theory (81-XX) 93 Integral equations (45-XX) 73 Classical thermodynamics, heat transfer (80-XX) 68 Measure and integration (28-XX) 65 Topological groups, Lie groups (22-XX) 52 Convex and discrete geometry (52-XX) 49 Statistics (62-XX) 48 Difference and functional equations (39-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 36 Functions of a complex variable (30-XX) 35 Potential theory (31-XX) 27 Geophysics (86-XX) 25 Approximations and expansions (41-XX) 22 Combinatorics (05-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 General topology (54-XX) 18 Special functions (33-XX) 12 General and overarching topics; collections (00-XX) 11 Integral transforms, operational calculus (44-XX) 11 Geometry (51-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Nonassociative rings and algebras (17-XX) 9 Abstract harmonic analysis (43-XX) 7 Astronomy and astrophysics (85-XX) 6 History and biography (01-XX) 6 Mathematical logic and foundations (03-XX) 6 Number theory (11-XX) 5 Algebraic geometry (14-XX) 5 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 $$K$$-theory (19-XX)