## 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: 1,428 Publications (since 1995) References Indexed: 1,243 Publications with 34,625 References.
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### Latest Issues

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### Authors

 20 Kunisch, Karl 15 Casas, Eduardo 12 Fernández-Cara, Enrique 10 Bonnard, Bernard 10 Tröltzsch, Fredi 9 Guo, Bao-Zhu 9 Li, Tatsien 9 Puel, Jean-Pierre 9 Raymond, Jean-Pierre 8 Kružík, Martin 8 Yong, Jiongmin 7 Agrachev, Andreĭ Aleksandrovich 7 Carlier, Guillaume 7 Guerrero, Sergio 7 Hintermüller, Michael 7 Karafyllis, Iasson 7 Krstić, Miroslav 7 Privat, Yannick 7 Rosier, Lionel 7 Takahashi, Takéo 7 Tucsnak, Marius 7 Zidani, Hasnaa 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 Imanuvilov, Oleg Yu. 6 Leugering, Günter 6 Moireau, Philippe 6 Nicaise, Serge 6 Rao, Bopeng 6 Sachkov, Yuriĭ Leonidovich 6 Trélat, Emmanuel 5 Bettiol, Piernicola 5 Bonnans, Joseph Frédéric 5 Boscain, Ugo 5 Braides, Andrea 5 Cannarsa, Piermarco 5 Chambolle, Antonin 5 de Teresa, Luz 5 Fliess, Michel 5 Frankowska, Hélène 5 Garcke, Harald 5 Glowinski, Roland 5 Henrot, Antoine 5 Lebeau, Gilles 5 Münch, Arnaud 5 Rouchon, Pierre 5 Stefanelli, Ulisse 5 Sun, Jingrui 5 Teel, Andrew Richard 5 Vanninathan, Muthusamy 5 Wu, Zhen 5 Yu, Zhiyong 4 Ancona, Fabio 4 Bardi, Martino 4 Beauchard, Karine 4 Bergounioux, Maïtine 4 Casado-Díaz, Juan 4 Cesaroni, Annalisa 4 Chitour, Yacine 4 Clason, Christian 4 Coron, Jean-Michel 4 Croce, Gisella 4 Dambrine, Marc 4 Ervedoza, Sylvain 4 Fragalà, Ilaria 4 Gaudiello, Antonio 4 Gomes, Diogo Luís Aguiar 4 Horsin, Thierry 4 Hu, Long 4 Huang, Jianhui 4 Jean, Frédéric 4 Kao, Chiu-Yen 4 Kavian, Otared 4 Khapalov, Alexander Yuri 4 Krömer, Stefan 4 Li, Juan 4 Liu, Yungang 4 Liu, Zhuangyi 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 ...and 1,800 more Authors
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### Fields

 739 Calculus of variations and optimal control; optimization (49-XX) 713 Partial differential equations (35-XX) 499 Systems theory; control (93-XX) 174 Mechanics of deformable solids (74-XX) 129 Numerical analysis (65-XX) 112 Operations research, mathematical programming (90-XX) 102 Fluid mechanics (76-XX) 98 Probability theory and stochastic processes (60-XX) 93 Ordinary differential equations (34-XX) 84 Operator theory (47-XX) 72 Differential geometry (53-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 49 Global analysis, analysis on manifolds (58-XX) 41 Dynamical systems and ergodic theory (37-XX) 37 Real functions (26-XX) 33 Statistical mechanics, structure of matter (82-XX) 32 Functional analysis (46-XX) 28 Mechanics of particles and systems (70-XX) 22 Optics, electromagnetic theory (78-XX) 22 Biology and other natural sciences (92-XX) 17 Computer science (68-XX) 15 Measure and integration (28-XX) 15 Quantum theory (81-XX) 14 Topological groups, Lie groups (22-XX) 12 Integral equations (45-XX) 12 Convex and discrete geometry (52-XX) 10 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 Combinatorics (05-XX) 6 Potential theory (31-XX) 6 Approximations and expansions (41-XX) 5 Statistics (62-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-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

1,148 Publications have been cited 11,723 times in 9,048 Documents Cited by Year
Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain. Zbl 0873.93008
Rosier, Lionel
1997
Stabilization of wave systems with input delay in the boundary control. Zbl 1105.35016
Xu, Gen Qi; Yung, Siu Pang; Li, Leong Kwan
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
Le Rousseau, Jérôme; Lebeau, Gilles
2012
Design-dependent loads in topology optimization. Zbl 1066.49029
Bourdin, Blaise; Chambolle, Antonin
2003
A level-set approach for inverse problems involving obstacles. Zbl 0870.49016
1996
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
A smooth Lyapunov function from a class-$$\mathcal{KL}$$ estimate involving two positive semidefinite functions. Zbl 0953.34042
Teel, Andrew R.; Praly, Laurent
2000
Boundary layer tails in periodic homogenization. Zbl 0922.35014
Allaire, Grégoire; Amar, Micol
1999
BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
2012
A positive solution for an asymptotically linear elliptic problem on $$\mathbb R^{N}$$ autonomous at infinity. Zbl 1225.35088
Jeanjean, Louis; Tanaka, Kazunaga
2002
Weak linking theorems and Schrödinger equations with critical Sobolev exponent. Zbl 1173.35482
Schechter, Martin; Zou, Wenming
2003
Combined effects for fractional Schrödinger-Kirchhoff systems with critical nonlinearities. Zbl 1453.35184
Xiang, Mingqi; Rădulescu, Vicenţiu D.; Zhang, Binlin
2018
Mean field games systems of first order. Zbl 1319.35273
Cardaliaguet, Pierre; Graber, P. Jameson
2015
Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027
Gérard, P.
1998
On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications. Zbl 1143.35037
Diening, Lars; Málek, Josef; Steinhauer, Mark
2008
Inverse problems in spaces of measures. Zbl 1266.65083
Bredies, Kristian; Pikkarainen, Hanna Katriina
2013
Tracking with prescribed transient behaviour. Zbl 1044.93022
Ilchmann, Achim; Ryan, E. P.; Sangwin, C. J.
2002
An algebraic framework for linear identification. Zbl 1063.93014
Fliess, Michel; Sira-Ramírez, Hebertt
2003
Control of the continuity equation with a non local flow. Zbl 1232.35176
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali
2011
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
A duality-based approach to elliptic control problems in non-reflexive Banach spaces. Zbl 1213.49041
Clason, Christian; Kunisch, Karl
2011
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
Stabilization of second order evolution equations with unbounded feedback with delay. Zbl 1217.93144
Nicaise, Serge; Valein, Julie
2010
Mean-field optimal control. Zbl 1305.49004
Fornasier, Massimo; Solombrino, Francesco
2014
A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010
Braides, Andrea; Fonseca, Irene; Leoni, Giovanni
2000
Convergence and regularization results for optimal control problems with sparsity functional. Zbl 1228.49032
Wachsmuth, Gerd; Wachsmuth, Daniel
2011
Dirichlet problems with singular and gradient quadratic lower order terms. Zbl 1147.35034
Boccardo, Lucio
2008
Ground states for fractional magnetic operators. Zbl 1400.49059
d’Avenia, Pietro; Squassina, Marco
2018
A Hamilton-Jacobi approach to junction problems and application to traffic flows. Zbl 1262.35080
Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa
2013
Gradient flows of non convex functionals in Hilbert spaces and applications. Zbl 1116.34048
Rossi, Riccarda; Savaré, Giuseppe
2006
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
2002
Null controllability of the semilinear heat equation. Zbl 0897.93011
Fernández-Cara, E.
1997
Remarks on non controllability of the heat equation with memory. Zbl 1258.93026
Guerrero, Sergio; Imanuvilov, Oleg Yurievich
2013
Maxwell strata in sub-Riemannian problem on the group of motions of a plane. Zbl 1217.49037
Moiseev, Igor; Sachkov, Yuri L.
2010
Control of the surface of a fluid by a wavemaker. Zbl 1094.93014
Rosier, Lionel
2004
Scaling laws for non-Euclidean plates and the $$W^{2,2}$$ isometric immersions of Riemannian metrics. Zbl 1300.74028
2011
Error estimates for the numerical approximation of semilinear elliptic control problems with finitely many state constraints. Zbl 1066.49018
Casas, Eduardo
2002
Discrete mechanics and optimal control: an analysis. Zbl 1357.49120
Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E.
2011
Variational approach to shape derivatives. Zbl 1357.49148
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
2008
Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems. Zbl 1040.93031
Xu, Cheng-Zhong; Sallet, Gauthier
2002
Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients. Zbl 1092.93006
Doubova, Anna; Osses, A.; Puel, J.-P.
2002
On the controllability of the Burger equation. Zbl 0897.93034
Horsin, T.
1998
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
The pseudo-$$p$$-Laplace eigenvalue problem and viscosity solutions as $$p\to\infty$$. Zbl 1092.35074
Belloni, Marino; Kawohl, Bernd
2004
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. Zbl 1357.49043
Mielke, Alexander; Ortiz, Michael
2008
Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane. Zbl 1208.49003
Sachkov, Yuri L.
2010
Multiplicity and concentration of positive solutions for the fractional Schrödinger-Poisson systems with critical growth. Zbl 06811887
Liu, Zhisu; Zhang, Jianjun
2017
Patchy vector fields and asymptotic stabilization. Zbl 0924.34058
Ancona, Fabio; Bressan, Alberto
1999
Single input controllability of a simplified fluid-structure interaction model. Zbl 1270.35259
Liu, Yuning; Takahashi, Takéo; Tucsnak, Marius
2013
Numerical minimization of eigenmodes of a membrane with respect to the domain. Zbl 1076.74045
Oudet, Édouard
2004
Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014
Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel
2007
Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090
Gugat, Martin; Herty, Michaël
2011
Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations. Zbl 1111.49017
Tröltzsch, Fredi; Wachsmuth, Daniel
2006
Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054
De Gournay, Frédéric; Allaire, Grégoire; Jouve, François
2008
Curl bounds grad on $$\mathrm{SO}(3)$$. Zbl 1139.74008
Neff, Patrizio; Münch, Ingo
2008
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
Time-dependent mean-field games in the superquadratic case. Zbl 1339.35090
Gomes, Diogo A.; Pimentel, Edgard; Sánchez-Morgado, Héctor
2016
Homogenization of the compressible Navier-Stokes equations in a porous medium. Zbl 1071.76047
2002
Biaxiality in the asymptotic analysis of a 2D Landau-de Gennes model for liquid crystals. Zbl 1311.35209
Canevari, Giacomo
2015
Multi-phase structural optimization via a level set method. Zbl 1287.49045
Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G.
2014
Néel and cross-tie wall energies for planar micromagnetic configurations. Zbl 1092.82047
Alouges, François; Rivière, Tristan; Serfaty, Sylvia
2002
On singular elliptic equations with measure sources. Zbl 1337.35060
Oliva, Francescantonio; Petitta, Francesco
2016
Regularization of linear least squares problems by total bounded variation. Zbl 0890.49010
Chavent, G.; Kunisch, K.
1997
On some nonlinear partial differential equations involving the $$1"$$-Laplacian and critical Sobolev exponent. Zbl 0939.35070
Demengel, Françoise
1999
Towards a two-scale calculus. Zbl 1110.35009
Visintin, Augusto
2006
On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032
Desvillettes, L.; Villani, Cédric
2002
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
Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions. Zbl 1221.35393
Cingolani, Silvia; Jeanjean, Louis; Secchi, Simone
2009
Sub-Riemannian sphere in Martinet flat case. Zbl 0902.53033
Agrachev, A.; Bonnard, B.; Chyba, M.; Kupka, I.
1997
Controllability and observability of linear delay systems: An algebraic approach. Zbl 0908.93013
Fliess, M.; Mounier, H.
1998
Learning in mean field games: the fictitious play. Zbl 1365.35183
2017
On the curvature and torsion effects in one-dimensional waveguides. Zbl 1139.49043
Bouchitté, Guy; Mascarenhas, M. Luísa; Trabucho, Luís
2007
Overdetermined problems with fractional Laplacian. Zbl 1329.35223
Fall, Mouhamed Moustapha; Jarohs, Sven
2015
Equivalence of control systems with linear systems on Lie groups and homogeneous spaces. Zbl 1210.93024
Jouan, Philippe
2010
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
Bellman equation and viscosity solutions for mean-field stochastic control problem. Zbl 1396.93134
Pham, Huyên; Wei, Xiaoli
2018
Spatially-distributed coverage optimization and control with limited-range interactions. Zbl 1080.90070
Cortés, Jorge; Martínez, Sonia; Bullo, Francesco
2005
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
Global controllability and stabilization for the nonlinear Schrödinger equation on an interval. Zbl 1217.93032
Laurent, Camille
2010
Indirect stabilization of locally coupled wave-type systems. Zbl 1259.35034
Alabau-Boussouira, Fatiha; Léautaud, Matthieu
2012
A Hölder infinity Laplacian. Zbl 1255.35078
Chambolle, Antonin; Lindgren, Erik; Monneau, Régis
2012
The topological asymptotic for the Navier-Stokes equations. Zbl 1123.35040
Amstutz, Samuel
2005
Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. Zbl 1071.76012
Coron, Jean-Michel
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
Stabilization of Timoshenko beam by means of pointwise controls. Zbl 1068.93024
Xu, Gen-Qi; Yung, Siu Pang
2003
New regularity results and improved error estimates for optimal control problems with state constraints. Zbl 1293.49044
Casas, Eduardo; Mateos, Mariano; Vexler, Boris
2014
Clocks and insensitivity to small measurement errors. Zbl 0984.93068
Sontag, Eduardo D.
1999
Feedback stabilization of Navier-Stokes equations. Zbl 1076.93037
Barbu, Viorel
2003
Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems. Zbl 0872.93039
Fabre, Caroline
1996
Time optimal control of the heat equation with pointwise control constraints. Zbl 1272.35109
Kunisch, Karl; Wang, Lijuan
2013
Weighted energy-dissipation functionals for gradient flows. Zbl 1218.35007
Mielke, Alexander; Stefanelli, Ulisse
2011
Carleman estimates for the nonstationary Lamé system and the application to an inverse problem. Zbl 1089.35086
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
2005
Higher differentiability results in the scale of Besov spaces to a class of double-phase obstacle problems. Zbl 1495.49007
Grimaldi, Antonio Giuseppe; Ipocoana, Erica
2022
Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue. Zbl 07466627
Ftouh, Ilias
2022
Extended mean-field control problem with partial observation. Zbl 1485.93638
Nie, Tianyang; Yan, Ke
2022
Ergodic risk-sensitive control of Markov processes on countable state space revisited. Zbl 1493.90218
2022
Typicality results for weak solutions of the incompressible Navier-Stokes equations. Zbl 1492.35181
Colombo, Maria; De Rosa, Luigi; Sorella, Massimo
2022
Extended McKean-Vlasov optimal stochastic control applied to smart grid management,. Zbl 1497.93240
Gobet, Emmanuel; Grangereau, Maxime
2022
On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds. Zbl 1496.53041
Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele
2022
Stabilization and approximate null-controllability for a large class of diffusive equations from thick control supports. Zbl 1485.93442
Alphonse, Paul; Martin, Jérémy
2022
Equilibrium price formation with a major player and its mean field limit. Zbl 1485.49047
Fujii, Masaaki; Takahashi, Akihiko
2022
Continuous feedback stabilization of nonlinear control systems by composition operators. Zbl 1492.93135
Christopherson, Bryce A.; Mordukhovich, Boris S.; Jafari, Farhad
2022
A primal-dual flow for affine constrained convex optimization. Zbl 1500.90048
Luo, Hao
2022
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
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
Linear hyperbolic systems on networks: well-posedness and qualitative properties. Zbl 07369225
Fijavž, Marjeta Kramar; Mugnolo, Delio; Nicaise, Serge
2021
Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation. Zbl 07369232
Kunisch, Karl; Walter, Daniel
2021
The turnpike property in semilinear control. Zbl 1473.49044
Pighin, Dario
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
Long time behavior and turnpike solutions in mildly non-monotone mean field games. Zbl 1471.91028
Cirant, Marco; Porretta, Alessio
2021
Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances. Zbl 1467.93272
Schmid, Jochen; Zwart, Hans
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
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
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
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
An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model. Zbl 1473.35449
López-Ríos, J.; Villamizar-Roa, Élder J.
2021
No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation. Zbl 1467.49017
Clason, Christian; Nhu, Vu Huu; Rösch, Arnd
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
A hierarchy of multilayered plate models. Zbl 1468.74033
de Benito Delgado, Miguel; Schmidt, Bernd
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
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
Global gradient estimates for nonlinear parabolic operators. Zbl 1469.35068
Dipierro, Serena; Gao, Zu; Valdinoci, Enrico
2021
Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems. Zbl 1481.65218
Oudet, Édouard; Kao, Chiu-Yen; Osting, Braxton
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
Linear-quadratic optimal control for backward stochastic differential equations with random coefficients. Zbl 1467.93337
Sun, Jingrui; Wang, Hanxiao
2021
Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping. Zbl 1468.35020
Luo, Jun-Ren; Xiao, Ti-Jun
2021
Symmetry results for variational energies on convex polygons. Zbl 1468.49047
Bucur, Dorin; Fragalà, Ilaria
2021
Convergence of the natural $$p$$-means for the $$p$$-Laplacian. Zbl 1479.35486
Manfredi, Juan J.; Stroffolini, Bianca
2021
Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation. Zbl 1473.35435
Bianchini, Roberta; Natalini, Roberto
2021
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
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
2021
Stabilization of the response of cyclically loaded lattice spring models with plasticity. Zbl 1484.74035
Gudoshnikov, Ivan; Makarenkov, Oleg
2021
Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation. Zbl 1468.35048
Christof, Constantin; Müller, Georg
2021
Shape derivatives for an augmented Lagrangian formulation of elastic contact problems. Zbl 1468.35067
Chaudet-Dumas, Bastien; Deteix, Jean
2021
Least gradient functions in metric random walk spaces. Zbl 1483.60068
Górny, Wojciech; Mazón, José M.
2021
Open-loop and closed-loop solvabilities for stochastic linear quadratic optimal control problems of Markovian regime switching system. Zbl 1473.49040
Zhang, Xin; Li, Xun; Xiong, Jie
2021
Second order necessary conditions for optimal control problems of evolution equations involving final point equality constraints. Zbl 1473.49028
Frankowska, Hélène; Lü, Qi
2021
Optimization of spatial control strategies for population replacement, application to Wolbachia. Zbl 1471.92250
Duprez, Michel; Hélie, Romane; Privat, Yannick; Vauchelet, Nicolas
2021
Local null controllability of a fluid-rigid body interaction problem with Navier slip boundary conditions. Zbl 1479.35607
Djebour, Imene Aicha
2021
Constrained nonsmooth problems of the calculus of variations. Zbl 1473.49023
Dolgopolik, Maksim
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
A policy iteration method for mean field games. Zbl 1473.49043
Cacace, Simone; Camilli, Fabio; Goffi, Alessandro
2021
Mean field approach to stochastic control with partial information. Zbl 1476.93156
Bensoussan, Alain; Yam, Sheung Chi Phillip
2021
Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation. Zbl 1479.35164
Lecaros, Rodrigo; Ortega, Jaime H.; Pérez, Ariel
2021
Null controllability and finite-time stabilization in minimal time of one-dimensional first-order $$2 \times 2$$ linear hyperbolic systems. Zbl 1479.35100
Hu, Long; Olive, Guillaume
2021
Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions. Zbl 1483.53107
Cesaroni, A.; Kröner, H.; Novaga, M.
2021
New perspectives on output feedback stabilization at an unobservable target. Zbl 1478.93498
Brivadis, Lucas; Gauthier, Jean-Paul; Sacchelli, Ludovic; Serres, Ulysse
2021
Singular perturbations and optimal control of stochastic systems in infinite dimension: HJB equations and viscosity solutions. Zbl 1468.35242
Święch, Andrzej
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
A minimizing movement approach to a class of scalar reaction-diffusion equations. Zbl 1468.35085
Fleißner, Florentine Catharina
2021
The back-and-forth method for Wasserstein gradient flows. Zbl 1483.65104
Jacobs, Matt; Lee, Wonjun; Léger, Flavien
2021
Finite state $$N$$-agent and mean field control problems. Zbl 1468.35035
Cecchin, Alekos
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 1494.22007
Le Donne, Enrico; Züst, Roger
2021
Strong rates of convergence for a space-time discretization of the backward stochastic heat equation, and of a linear-quadratic control problem for the stochastic heat equation. Zbl 1467.60050
Prohl, Andreas; Wang, Yanqing
2021
Outer invariance entropy for discrete-time linear systems on Lie groups. Zbl 1467.93202
Colonius, Fritz; Cossich, João A. N.; Santana, Alexandre J.
2021
Exponential turnpike property for fractional parabolic equations with non-zero exterior data. Zbl 1468.35234
2021
Bi-objective optimal control of some PDEs: Nash equilibria and quasi-equilibria. Zbl 1468.35109
Fernández-Cara, E.; Marín-Gayte, I.
2021
Numerical approximation of the averaged controllability for the wave equation with unknown velocity of propagation. Zbl 1481.65194
Abdelli, Mouna; Castro, Carlos
2021
On the Plateau-Douglas problem for the Willmore energy of surfaces with planar boundary curves. Zbl 1467.49041
Pozzetta, Marco
2021
Some isoperimetric inequalities with respect to monomial weights. Zbl 1468.39012
Alvino, Angelo; Brock, Friedemann; Chiacchio, Francesco; Mercaldo, Anna; Posteraro, Maria Rosaria
2021
Oscillating PDE in a rough domain with a curved interface: homogenization of an optimal control problem. Zbl 1467.49004
Nandakumaran, A. K.; Sufian, Abu
2021
Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. Zbl 1467.49034
Henrot, Antoine; Mazari, Idriss; Privat, Yannick
2021
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
Observability and unique continuation of the adjoint of a linearized simplified compressible fluid-structure model in a 2d channel. Zbl 1468.76057
Mitra, Sourav
2021
Optimal control of the two-dimensional Vlasov-Maxwell system. Zbl 1467.49021
Weber, Jörg
2021
Optimal control of higher order differential inclusions with functional constraints. Zbl 1447.49039
Mahmudov, Elimhan N.
2020
Hyperbolic Maxwell variational inequalities of the second kind. Zbl 1446.35079
Yousept, Irwin
2020
Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints. Zbl 1447.49035
Bergounioux, Maïtine; Bourdin, Loïc
2020
Improved regularity assumptions for partial outer convexification of mixed-integer PDE-constrained optimization problems. Zbl 1439.49023
Manns, Paul; Kirches, Christian
2020
Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth. Zbl 1451.35233
Ebenbeck, Matthias; Knopf, Patrik
2020
Optimal control of fractional semilinear PDEs. Zbl 1439.49008
2020
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
2020
Towards a mathematical theory of behavioral swarms. Zbl 1459.82166
Bellomo, Nicola; Ha, Seung-Yeal; Outada, Nisrine
2020
On mean field games models for exhaustible commodities trade. Zbl 1437.35664
Graber, Philip Jameson; Mouzouni, Charafeddine
2020
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
Optimal control of stochastic phase-field models related to tumor growth. Zbl 1459.35415
Orrieri, Carlo; Rocca, Elisabetta; Scarpa, Luca
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
External optimal control of fractional parabolic PDEs. Zbl 1444.35144
Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi
2020
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
Metric sub-regularity in optimal control of affine problems with free end state. Zbl 1448.49033
Osmolovskii, N. P.; Veliov, V. M.
2020
Minimizers of the prescribed curvature functional in a Jordan domain with no necks. Zbl 1459.49029
Leonardi, Gian Paolo; Saracco, Giorgio
2020
Stochastic linear quadratic Stackelberg differential game with overlapping information. Zbl 1461.91032
Shi, Jingtao; Wang, Guangchen; Xiong, Jie
2020
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### Cited by 8,708 Authors

 69 Kunisch, Karl 54 Zuazua, Enrique 48 Fernández-Cara, Enrique 45 Trélat, Emmanuel 44 Xu, Gen-Qi 41 Casas, Eduardo 40 Neff, Patrizio 40 Stefanelli, Ulisse 39 Ammari, Kais 37 Coron, Jean-Michel 34 Guo, Bao-Zhu 32 Nicaise, Serge 30 Guerrero, Sergio 30 Prieur, Christophe 28 Münch, Arnaud 28 Sachkov, Yuriĭ Leonidovich 27 Cannarsa, Piermarco 27 Gomes, Diogo Luís Aguiar 27 Karafyllis, Iasson 27 Rosier, Lionel 26 Attouch, Hedy 26 Kružík, Martin 26 Rossi, Julio Daniel 26 Rossi, Riccarda 26 Teel, Andrew Richard 25 Pazoto, Ademir Fernando 25 Tang, Xianhua 24 Allaire, Grégoire 24 Li, Tatsien 23 Alves, Claudianor Oliveira 23 Beauchard, Karine 23 Bonnard, Bernard 23 Cardaliaguet, Pierre 23 Cavalcanti, Marcelo Moreira 23 Han, Zhongjie 23 Mielke, Alexander 23 Takahashi, Takéo 22 Ervedoza, Sylvain 22 Hassine, Maatoug 22 Raymond, Jean-Pierre 22 Sira-Ramírez, Hebertt J. 22 Wang, Junmin 21 Ambrosio, Vincenzo 21 Gaudiello, Antonio 21 Pedregal, Pablo 21 Rao, Bopeng 21 Tröltzsch, Fredi 21 Zhang, Jian 20 Alabau-Boussouira, Fatiha 20 Chentouf, Boumediène 20 Grüne, Lars 20 Gugat, Martin 20 Imanuvilov, Oleg Yu. 20 Katzourakis, Nikolaos I. 20 Tucsnak, Marius 20 Wehbe, Ali 20 Yamamoto, Masahiro 20 Zhang, Bingyu 19 Ayala, Victor 19 Hintermüller, Michael 19 Messaoudi, Salim A. 19 Rösch, Arnd 19 Wang, Gengsheng 18 Bressan, Alberto 18 de Teresa, Luz 18 Domingos Cavalcanti, Valéria Neves 18 Feng, Baowei 18 Fliess, Michel 18 Glass, Olivier 18 Hinze, Michael 18 Krstić, Miroslav 18 Leugering, Günter 18 López-Cerdá, Marco Antonio 18 Mahmudov, Elimhan Nadir 18 Maniar, Lahcen 18 Micu, Sorin 18 Santambrogio, Filippo 18 Zappale, Elvira 17 Boscain, Ugo 17 Clason, Christian 17 Le Rousseau, Jérôme H. 17 Puel, Jean-Pierre 17 Valdinoci, Enrico 17 Wachsmuth, Daniel 16 Benabdallah, Assia 16 Cerpa, Eduardo 16 Dapogny, Charles 16 Gao, Hang 16 Herty, Michael Matthias 16 Ignat, Radu 16 Laurent, Camille 16 Motta, Monica 16 Mustafa, Muhammad Islam 16 Orlandi, Giandomenico 16 Piccoli, Benedetto 16 Roubíček, Tomáš 16 Šimon Hilscher, Roman 16 Vexler, Boris 16 Wachsmuth, Gerd 16 Zaslavski, Alexander Yakovlevich ...and 8,608 more Authors
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### Cited in 612 Journals

 470 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 318 Journal of Differential Equations 292 SIAM Journal on Control and Optimization 277 Journal of Mathematical Analysis and Applications 225 Automatica 213 Calculus of Variations and Partial Differential Equations 212 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 207 Systems & Control Letters 152 Archive for Rational Mechanics and Analysis 152 Applied Mathematics and Optimization 152 Journal de Mathématiques Pures et Appliquées. Neuvième Série 146 International Journal of Control 143 Journal of Optimization Theory and Applications 112 Mathematical Control and Related Fields 111 Comptes Rendus. Mathématique. Académie des Sciences, Paris 108 Applicable Analysis 108 SIAM Journal on Mathematical Analysis 105 Discrete and Continuous Dynamical Systems 98 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 93 Journal of Functional Analysis 89 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 87 Computer Methods in Applied Mechanics and Engineering 83 NoDEA. Nonlinear Differential Equations and Applications 83 Evolution Equations and Control Theory 74 ZAMP. Zeitschrift für angewandte Mathematik und Physik 71 Journal of Dynamical and Control Systems 70 Communications in Partial Differential Equations 66 MCSS. Mathematics of Control, Signals, and Systems 64 Journal of Computational Physics 64 Journal of Mathematical Physics 64 Discrete and Continuous Dynamical Systems. Series S 63 Communications on Pure and Applied Analysis 60 Computational Optimization and Applications 57 Computers & Mathematics with Applications 57 Annali di Matematica Pura ed Applicata. Serie Quarta 57 Nonlinear Analysis. Real World Applications 56 Set-Valued and Variational Analysis 54 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 50 Journal of Evolution Equations 49 Boundary Value Problems 48 Applied Mathematics and Computation 47 Mathematical Programming. Series A. Series B 46 Numerische Mathematik 45 Mathematical Methods in the Applied Sciences 44 Optimization 43 Journal of the Franklin Institute 42 Inverse Problems 42 Journal of Computational and Applied Mathematics 42 Acta Applicandae Mathematicae 42 Journal of Scientific Computing 42 SIAM Journal on Scientific Computing 41 Discrete and Continuous Dynamical Systems. Series B 39 Applied Mathematics Letters 39 Journal of Nonlinear Science 38 Communications in Contemporary Mathematics 36 Numerical Functional Analysis and Optimization 36 Transactions of the American Mathematical Society 36 Journal of Elasticity 35 European Journal of Control 35 Complex Variables and Elliptic Equations 34 Journal of Inverse and Ill-Posed Problems 34 Advances in Calculus of Variations 33 Asymptotic Analysis 33 SIAM Journal on Optimization 33 Journal of Mathematical Sciences (New York) 32 Nonlinearity 31 Journal of the European Mathematical Society (JEMS) 30 The Journal of Geometric Analysis 30 Networks and Heterogeneous Media 29 Mathematics and Mechanics of Solids 28 Advances in Nonlinear Analysis 27 SIAM Journal on Numerical Analysis 27 Chinese Annals of Mathematics. Series B 25 Advances in Mathematics 25 Proceedings of the American Mathematical Society 25 Journal of Systems Science and Complexity 24 Communications in Mathematical Physics 24 Journal of Convex Analysis 24 Journal of Mathematical Fluid Mechanics 24 Mediterranean Journal of Mathematics 23 Journal of Global Optimization 23 SIAM Journal on Applied Mathematics 23 Journal of Mathematical Imaging and Vision 23 Mathematical Problems in Engineering 22 Mathematische Annalen 22 Journal of Dynamics and Differential Equations 22 Differential Equations 22 Inverse Problems in Science and Engineering 21 European Journal of Applied Mathematics 21 International Journal of Robust and Nonlinear Control 20 Applied Numerical Mathematics 20 Advances in Difference Equations 19 Communications on Pure and Applied Mathematics 19 Applied Mathematical Modelling 19 Advances in Computational Mathematics 19 Multiscale Modeling & Simulation 19 Journal of Geometric Mechanics 19 Asian Journal of Control 18 Vietnam Journal of Mathematics 18 Abstract and Applied Analysis ...and 512 more Journals
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### Cited in 60 Fields

 4,937 Partial differential equations (35-XX) 2,795 Calculus of variations and optimal control; optimization (49-XX) 2,698 Systems theory; control (93-XX) 1,074 Mechanics of deformable solids (74-XX) 1,063 Numerical analysis (65-XX) 650 Operations research, mathematical programming (90-XX) 620 Fluid mechanics (76-XX) 473 Ordinary differential equations (34-XX) 459 Operator theory (47-XX) 395 Probability theory and stochastic processes (60-XX) 321 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 312 Differential geometry (53-XX) 307 Global analysis, analysis on manifolds (58-XX) 287 Dynamical systems and ergodic theory (37-XX) 242 Biology and other natural sciences (92-XX) 238 Statistical mechanics, structure of matter (82-XX) 231 Mechanics of particles and systems (70-XX) 207 Functional analysis (46-XX) 199 Optics, electromagnetic theory (78-XX) 163 Real functions (26-XX) 137 Information and communication theory, circuits (94-XX) 132 Computer science (68-XX) 128 Quantum theory (81-XX) 102 Integral equations (45-XX) 74 Measure and integration (28-XX) 74 Classical thermodynamics, heat transfer (80-XX) 66 Topological groups, Lie groups (22-XX) 60 Convex and discrete geometry (52-XX) 58 Statistics (62-XX) 53 Difference and functional equations (39-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 38 Functions of a complex variable (30-XX) 38 Potential theory (31-XX) 31 Approximations and expansions (41-XX) 31 Geophysics (86-XX) 23 Combinatorics (05-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 21 General topology (54-XX) 18 Special functions (33-XX) 13 General and overarching topics; collections (00-XX) 12 Geometry (51-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Integral transforms, operational calculus (44-XX) 10 Abstract harmonic analysis (43-XX) 9 Nonassociative rings and algebras (17-XX) 7 History and biography (01-XX) 7 Mathematical logic and foundations (03-XX) 7 Astronomy and astrophysics (85-XX) 6 Number theory (11-XX) 6 Algebraic topology (55-XX) 5 Algebraic geometry (14-XX) 5 Manifolds and cell complexes (57-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 2 $$K$$-theory (19-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX)