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## 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: 1,313 Publications (since 1995) References Indexed: 1,129 Publications with 30,701 References.
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#### Latest Issues

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#### Authors

 19 Kunisch, Karl 13 Casas, Eduardo 10 Bonnard, Bernard 10 Fernández-Cara, Enrique 10 Tröltzsch, Fredi 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 Guo, Bao-Zhu 7 Tucsnak, Marius 6 Allaire, Grégoire 6 Barbu, Viorel 6 Bressan, Alberto 6 Buttazzo, Giuseppe 6 Fonseca, Irene 6 Fusco, Nicola 6 Gugat, Martin 6 Imanuvilov, Oleg Yu. 6 Karafyllis, Iasson 6 Krstić, Miroslav 6 Nicaise, Serge 6 Privat, Yannick 6 Rao, Bopeng 6 Rosier, Lionel 6 Sachkov, Yuriĭ Leonidovich 6 Takahashi, Takéo 6 Yong, Jiongmin 5 Amstutz, Samuel 5 Braides, Andrea 5 Cannarsa, Piermarco 5 Chambolle, Antonin 5 Fliess, Michel 5 Henrot, Antoine 5 Hintermüller, Michael 5 Lebeau, Gilles 5 Moireau, Philippe 5 Münch, Arnaud 5 Rouchon, Pierre 5 Teel, Andrew Richard 5 Trélat, Emmanuel 5 Vanninathan, Muthusamy 5 Yu, Zhiyong 5 Zidani, Hasnaa 4 Ancona, Fabio 4 Bardi, Martino 4 Beauchard, Karine 4 Bergounioux, Maïtine 4 Bettiol, Piernicola 4 Bonnans, Joseph Frédéric 4 Boscain, Ugo 4 Casado-Díaz, Juan 4 Clason, Christian 4 Dambrine, Marc 4 Ervedoza, Sylvain 4 Fragalà, Ilaria 4 Frankowska, Hélène 4 Garcke, Harald 4 Gaudiello, Antonio 4 Glowinski, Roland 4 Gomes, Diogo Luís Aguiar 4 Horsin, Thierry 4 Huang, Jianhui 4 Kavian, Otared 4 Khapalov, Alexander Yuri 4 Krömer, Stefan 4 Leugering, Günter 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 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 4 Wachsmuth, Daniel 4 Wang, Junmin 4 Warma, Mahamadi 4 Xu, Gen-Qi 3 Alouges, François 3 Amar, Micol 3 Attouch, Hedy ...and 1,614 more Authors
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#### Fields

 683 Calculus of variations and optimal control; optimization (49-XX) 653 Partial differential equations (35-XX) 455 Systems theory; control (93-XX) 161 Mechanics of deformable solids (74-XX) 115 Numerical analysis (65-XX) 97 Operations research, mathematical programming (90-XX) 89 Fluid mechanics (76-XX) 88 Ordinary differential equations (34-XX) 85 Probability theory and stochastic processes (60-XX) 78 Operator theory (47-XX) 60 Differential geometry (53-XX) 56 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 46 Global analysis, analysis on manifolds (58-XX) 40 Dynamical systems and ergodic theory (37-XX) 32 Statistical mechanics, structure of matter (82-XX) 31 Real functions (26-XX) 31 Functional analysis (46-XX) 27 Mechanics of particles and systems (70-XX) 20 Optics, electromagnetic theory (78-XX) 20 Biology and other natural sciences (92-XX) 15 Computer science (68-XX) 14 Quantum theory (81-XX) 13 Measure and integration (28-XX) 11 Convex and discrete geometry (52-XX) 10 Topological groups, Lie groups (22-XX) 10 Integral equations (45-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 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) 5 Approximations and expansions (41-XX) 4 Combinatorics (05-XX) 4 General topology (54-XX) 3 Nonassociative rings and algebras (17-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-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) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

987 Publications have been cited 9,394 times in 7,351 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
A level-set approach for inverse problems involving obstacles. Zbl 0870.49016
1996
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
Remarks on exact controllability for the Navier-Stokes equations. Zbl 0961.35104
Imanuvilov, Oleg Yu.
2001
Design-dependent loads in topology optimization. Zbl 1066.49029
Bourdin, Blaise; Chambolle, Antonin
2003
Stabilization of second order evolution equations by a class of unbounded feedbacks. Zbl 0992.93039
Ammari, Kais; Tucsnak, Marius
2001
Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions. Zbl 0927.34034
Bacciotti, Andrea; Ceragioli, Francesca
1999
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
A smooth Lyapunov function from a class-$$\mathcal{KL}$$ estimate involving two positive semidefinite functions. Zbl 0953.34042
Teel, Andrew R.; Praly, Laurent
2000
Weak linking theorems and Schrödinger equations with critical Sobolev exponent. Zbl 1173.35482
Schechter, Martin; Zou, Wenming
2003
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
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
Mean field games systems of first order. Zbl 1319.35273
Cardaliaguet, Pierre; Graber, P. Jameson
2015
A duality-based approach to elliptic control problems in non-reflexive Banach spaces. Zbl 1213.49041
Clason, Christian; Kunisch, Karl
2011
Control of the continuity equation with a non local flow. Zbl 1232.35176
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali
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
Exact boundary controllability of 3-D Euler equation. Zbl 0940.93012
Glass, Olivier
2000
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
Dirichlet problems with singular and gradient quadratic lower order terms. Zbl 1147.35034
Boccardo, Lucio
2008
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
A Hamilton-Jacobi approach to junction problems and application to traffic flows. Zbl 1262.35080
Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa
2013
Inverse problems in spaces of measures. Zbl 1266.65083
Bredies, Kristian; Pikkarainen, Hanna Katriina
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
Control of the surface of a fluid by a wavemaker. Zbl 1094.93014
Rosier, Lionel
2004
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
2002
Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems. Zbl 1040.93031
Xu, Cheng-Zhong; Sallet, Gauthier
2002
Patchy vector fields and asymptotic stabilization. Zbl 0924.34058
Ancona, Fabio; Bressan, Alberto
1999
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
Remarks on non controllability of the heat equation with memory. Zbl 1258.93026
Guerrero, Sergio; Imanuvilov, Oleg Yurievich
2013
Gradient flows of non convex functionals in Hilbert spaces and applications. Zbl 1116.34048
Rossi, Riccarda; Savaré, Giuseppe
2006
Stabilization of second order evolution equations with unbounded feedback with delay. Zbl 1217.93144
Nicaise, Serge; Valein, Julie
2010
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. Zbl 1357.49043
Mielke, Alexander; Ortiz, Michael
2008
Regularization of linear least squares problems by total bounded variation. Zbl 0890.49010
Chavent, G.; Kunisch, K.
1997
Mean-field optimal control. Zbl 1305.49004
Fornasier, Massimo; Solombrino, Francesco
2014
The pseudo-$$p$$-Laplace eigenvalue problem and viscosity solutions as $$p\to\infty$$. Zbl 1092.35074
Belloni, Marino; Kawohl, Bernd
2004
Discrete mechanics and optimal control: an analysis. Zbl 1357.49120
Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E.
2011
Tracking with prescribed transient behaviour. Zbl 1044.93022
Ilchmann, Achim; Ryan, E. P.; Sangwin, C. J.
2002
Scaling laws for non-Euclidean plates and the $$W^{2,2}$$ isometric immersions of Riemannian metrics. Zbl 1300.74028
2011
Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014
Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel
2007
Variational approach to shape derivatives. Zbl 1357.49148
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
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
Numerical minimization of eigenmodes of a membrane with respect to the domain. Zbl 1076.74045
Oudet, Édouard
2004
Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane. Zbl 1208.49003
Sachkov, Yuri L.
2010
On the curvature and torsion effects in one-dimensional waveguides. Zbl 1139.49043
Bouchitté, Guy; Mascarenhas, M. Luísa; Trabucho, Luís
2007
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
Sub-Riemannian sphere in Martinet flat case. Zbl 0902.53033
Agrachev, A.; Bonnard, B.; Chyba, M.; Kupka, I.
1997
Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054
De Gournay, Frédéric; Allaire, Grégoire; Jouve, François
2008
Ground states for fractional magnetic operators. Zbl 1400.49059
d’Avenia, Pietro; Squassina, Marco
2018
Néel and cross-tie wall energies for planar micromagnetic configurations. Zbl 1092.82047
Alouges, François; Rivière, Tristan; Serfaty, Sylvia
2002
Error estimates for the numerical approximation of semilinear elliptic control problems with finitely many state constraints. Zbl 1066.49018
Casas, Eduardo
2002
Controllability and observability of linear delay systems: An algebraic approach. Zbl 0908.93013
Fliess, M.; Mounier, H.
1998
Curl bounds grad on $$\mathrm{SO}(3)$$. Zbl 1139.74008
Neff, Patrizio; Münch, Ingo
2008
Spatially-distributed coverage optimization and control with limited-range interactions. Zbl 1080.90070
Cortés, Jorge; Martínez, Sonia; Bullo, Francesco
2005
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
Biaxiality in the asymptotic analysis of a 2D Landau-de Gennes model for liquid crystals. Zbl 1311.35209
Canevari, Giacomo
2015
Stabilization of Timoshenko beam by means of pointwise controls. Zbl 1068.93024
Xu, Gen-Qi; Yung, Siu Pang
2003
Combined effects for fractional Schrödinger-Kirchhoff systems with critical nonlinearities. Zbl 1453.35184
Xiang, Mingqi; Rădulescu, Vicenţiu D.; Zhang, Binlin
2018
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
Clocks and insensitivity to small measurement errors. Zbl 0984.93068
Sontag, Eduardo D.
1999
On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032
Desvillettes, L.; Villani, Cédric
2002
Towards a two-scale calculus. Zbl 1110.35009
Visintin, Augusto
2006
Multiplicity and concentration of positive solutions for the fractional Schrödinger-Poisson systems with critical growth. Zbl 06811887
Liu, Zhisu; Zhang, Jianjun
2017
Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks. Zbl 1282.93055
Liu, Yang; Lu, Jianquan; Wu, Bo
2014
Multi-phase structural optimization via a level set method. Zbl 1287.49045
Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G.
2014
Time-dependent mean-field games in the superquadratic case. Zbl 1339.35090
Gomes, Diogo A.; Pimentel, Edgard; Sánchez-Morgado, Héctor
2016
Overdetermined problems with fractional Laplacian. Zbl 1329.35223
Fall, Mouhamed Moustapha; Jarohs, Sven
2015
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
Time optimal control of the heat equation with pointwise control constraints. Zbl 1272.35109
Kunisch, Karl; Wang, Lijuan
2013
Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions. Zbl 1221.35393
Cingolani, Silvia; Jeanjean, Louis; Secchi, Simone
2009
A Hölder infinity Laplacian. Zbl 1255.35078
Chambolle, Antonin; Lindgren, Erik; Monneau, Régis
2012
Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems. Zbl 0872.93039
Fabre, Caroline
1996
A Bellman approach for two-domains optimal control problems in $$\mathbb{R}^N$$. Zbl 1287.49028
Barles, G.; Briani, A.; Chasseigne, E.
2013
Enhanced electrical impedance tomography via the Mumford-Shah functional. Zbl 0989.35136
Rondi, Luca; Santosa, Fadil
2001
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
Single input controllability of a simplified fluid-structure interaction model. Zbl 1270.35259
Liu, Yuning; Takahashi, Takéo; Tucsnak, Marius
2013
Null-controllability of one-dimensional parabolic equations. Zbl 1145.35337
Alessandrini, Giovanni; Escauriaza, Luis
2008
Carleman estimates for the nonstationary Lamé system and the application to an inverse problem. Zbl 1089.35086
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
2005
Global controllability and stabilization for the nonlinear Schrödinger equation on an interval. Zbl 1217.93032
Laurent, Camille
2010
Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. Zbl 1071.76012
Coron, Jean-Michel
2002
Weighted energy-dissipation functionals for gradient flows. Zbl 1218.35007
Mielke, Alexander; Stefanelli, Ulisse
2011
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
Null-controllability of some systems of parabolic type by one control force. Zbl 1125.93005
Ammar Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; Kostin, Ilya
2005
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
Interior sphere property of attainable sets and time optimal control problems. Zbl 1105.93007
Cannarsa, Piermarco; Frankowska, Hélène
2006
Unique continuation principle for systems of parabolic equations. Zbl 1195.35080
Kavian, Otared; de Teresa, Luz
2010
Uniqueness of solutions for some elliptic equations with a quadratic gradient term. Zbl 1189.35109
Arcoya, David; de León, Sergio Segura
2010
Neumann and Robin type boundary conditions in fractional Orlicz-Sobolev spaces. Zbl 07369306
Bahrouni, Sabri; Salort, Ariel M.
2021
Space of signatures as inverse limits of Carnot groups. Zbl 07369249
Le Donne, Enrico; Züst, Roger
2021
Convergence of the natural $$p$$-means for the $$p$$-Laplacian. Zbl 07369277
Manfredi, Juan J.; Stroffolini, Bianca
2021
Sparse optimal control of a phase field system with singular potentials arising in the modeling of tumor growth. Zbl 07369317
Sprekels, Jürgen; Tröltzsch, Fredi
2021
Numerical reconstruction based on Carleman estimates of a source term in a reaction-diffusion equation. Zbl 07369318
Boulakia, Muriel; De Buhan, Maya; Schwindt, Erica L.
2021
Improved regularity assumptions for partial outer convexification of mixed-integer PDE-constrained optimization problems. Zbl 1439.49023
Manns, Paul; Kirches, Christian
2020
Hyperbolic Maxwell variational inequalities of the second kind. Zbl 1446.35079
Yousept, Irwin
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
Antil, Harbir; Warma, Mahamadi
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
External optimal control of fractional parabolic PDEs. Zbl 1444.35144
Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi
2020
Control of the Grushin equation: non-rectangular control region and minimal time. Zbl 1447.93025
Duprez, Michel; Koenig, Armand
2020
On Mean Field Games models for exhaustible commodities trade. Zbl 1437.35664
Graber, Philip Jameson; Mouzouni, Charafeddine
2020
Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states. Zbl 1441.93026
Floridia, G.; Nitsch, C.; Trombetti, C.
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
Metric sub-regularity in optimal control of affine problems with free end state. Zbl 1448.49033
Osmolovskii, N. P.; Veliov, V. M.
2020
Risk-averse optimal control of semilinear elliptic PDEs. Zbl 1448.49006
Kouri, D. P.; Surowiec, T. M.
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
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
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
Non null controllability of Stokes equations with memory. Zbl 1451.93023
Fernández-Cara, Enrique; Machado, José Lucas F.; Souza, Diego A.
2020
The cost of controlling strongly degenerate parabolic equations. Zbl 1442.93016
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
2020
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.
2020
On $$L^\infty$$ stabilization of diagonal semilinear hyperbolic systems by saturated boundary control. Zbl 1441.93241
Dus, Mathias; Ferrante, Francesco; Prieur, Christophe
2020
Regularity of the minimiser of one-dimensional interaction energies. Zbl 1434.74057
Kimura, M.; van Meurs, P.
2020
Thresholding gradient methods in Hilbert spaces: support identification and linear convergence. Zbl 07198291
Garrigos, Guillaume; Rosasco, Lorenzo; Villa, Silvia
2020
Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications. Zbl 1446.35085
Abatangelo, L.; Felli, V.; Léna, C.
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
Minimal time sliding mode control for evolution equations in Hilbert spaces. Zbl 1450.35090
Marinoschi, Gabriela
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
Influence of dimension on the convergence of level-sets in total variation regularization. Zbl 1458.49030
Iglesias, José A.; Mercier, Gwenael
2020
Local controllability of reaction-diffusion systems around nonnegative stationary states. Zbl 1446.93013
Le Balc&rsquo;h, Kévin
2020
Solving a Bernoulli type free boundary problem with random diffusion. Zbl 1453.35199
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut
2020
Sparse and switching infinite horizon optimal controls with mixed-norm penalizations. Zbl 1454.49004
Kalise, Dante; Kunisch, Karl; Rao, Zhiping
2020
On the partial controllability of SDEs and the exact controllability of FBSDEs. Zbl 1451.93036
Wang, Yanqing; Yu, Zhiyong
2020
Modeling and stabilization of current-controlled piezo-electric beams with dynamic electromagnetic field. Zbl 1434.74055
Özer, Ahmet Özkan; Morris, Kirsten A.
2020
Hardy’s uncertainty principle and unique continuation property for stochastic heat equations. Zbl 1442.35567
Fernández-Bertolin, Aingeru; Zhong, Jie
2020
On the observability inequality of coupled wave equations: the case without boundary. Zbl 1441.35156
Cui, Yan; Laurent, Camille; Wang, Zhiqiang
2020
Stochastic filtering and optimal control of pure jump Markov processes with noise-free partial observation. Zbl 1441.93309
Calvia, Alessandro
2020
$$\Gamma$$-limit of the cut functional on dense graph sequences. Zbl 1439.05068
Braides, Andrea; Cermelli, Paolo; Dovetta, Simone
2020
On the continuity of the trace operator in GSBV$$(\Omega)$$ and GSBD$$(\Omega)$$. Zbl 1453.46036
Tasso, Emanuele
2020
Optimal control of higher order differential inclusions with functional constraints. Zbl 1447.49039
Mahmudov, Elimhan N.
2020
Calibrations for minimal networks in a covering space setting. Zbl 07241545
Carioni, Marcello; Pluda, Alessandra
2020
On closed-loop equilibrium strategies for mean-field stochastic linear quadratic problems. Zbl 1442.93048
Wang, Tianxiao
2020
Minimizers of the prescribed curvature functional in a Jordan domain with no necks. Zbl 1459.49029
Leonardi, Gian Paolo; Saracco, Giorgio
2020
On material optimisation for nonlinearly elastic plates and shells. Zbl 1459.49028
Hornung, Peter; Rumpf, Martin; Simon, Stefan
2020
Null-controllability of perturbed porous medium gas flow. Zbl 1460.93015
Geshkovski, Borjan
2020
A tumor growth model of Hele-Shaw type as a gradient flow. Zbl 1460.92050
Di Marino, Simone; Chizat, Lénaïc
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 07323775
Fusco, Nicola; Pratelli, Aldo
2020
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
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
Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space. Zbl 07323781
Coron, Jean-Michel; Nguyen, Hoai-Minh
2020
Quasistatic evolution for dislocation-free finite plasticity. Zbl 1465.35373
Kružík, Martin; Melching, David; Stefanelli, Ulisse
2020
Attainable profiles for conservation laws with flux function spatially discontinuous at a single point. Zbl 1458.35263
Ancona, Fabio; Chiri, Maria Teresa
2020
Rate of convergence of the Nesterov accelerated gradient method in the subcritical case $$\alpha \leq 3$$. Zbl 1437.49045
Attouch, Hedy; Chbani, Zaki; Riahi, Hassan
2019
Stampacchia-Caldéron-Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift. Zbl 1437.35231
Boccardo, Lucio
2019
On the asymptotic behaviour of nonlocal perimeters. Zbl 1443.49052
Berendsen, Judith; Pagliari, Valerio
2019
Equilibrium strategies for time-inconsistent stochastic switching systems. Zbl 1441.93346
Mei, Hongwei; Yong, Jiongmin
2019
A gradient system with a wiggly energy and relaxed EDP-convergence. Zbl 1444.35101
Dondl, Patrick; Frenzel, Thomas; Mielke, Alexander
2019
Ergodic pairs for singular or degenerate fully nonlinear operators. Zbl 1437.35370
Birindelli, Isabeau; Demengel, Françoise; Leoni, Fabiana
2019
An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems. Zbl 1444.35090
Gallouët, Thomas; Laborde, Maxime; Monsaingeon, Léonard
2019
Macroscopic limit of the Becker-Döring equation via gradient flows. Zbl 1440.49013
Schlichting, André
2019
Eigencurves for linear elliptic equations. Zbl 1437.35241
Rivas, Mauricio A.; Robinson, Stephen B.
2019
Convergence analysis of time-discretisation schemes for rate-independent systems. Zbl 1437.49009
Knees, Dorothee
2019
Multiple positive bound states for critical Schrödinger-Poisson systems. Zbl 1437.35252
Cerami, Giovanna; Molle, Riccardo
2019
Linear quadratic stochastic optimal control problems with operator coefficients: open-loop solutions. Zbl 1441.93350
Wei, Qingmeng; Yong, Jiongmin; Yu, Zhiyong
2019
Existence for dislocation-free finite plasticity. Zbl 1442.35449
Stefanelli, Ulisse
2019
Cloaking using complementary media for electromagnetic waves. Zbl 1437.35649
Nguyen, Hoai-Minh
2019
Control of a Boussinesq system of KdV-KdV type on a bounded interval. Zbl 1437.35607
Capistrano-Filho, Roberto A.; Pazoto, Ademir F.; Rosier, Lionel
2019
Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators. Zbl 1436.93106
Kunisch, Karl; Rodrigues, Sérgio S.
2019
On boundary stability of inhomogeneous $$2 \times 2 1$$-D hyperbolic systems for the $$C^1$$ norm. Zbl 1439.35318
Hayat, Amaury
2019
Strong stability of linear parabolic time-optimal control problems. Zbl 1437.49033
Bonifacius, Lucas; Pieper, Konstantin
2019
Control problem on space of random variables and master equation. Zbl 1450.35305
Bensoussan, Alain; Yam, Sheung Chi Phillip
2019
Material optimization for nonlinearly elastic planar beams. Zbl 1444.74025
Hornung, Peter; Rumpf, Martin; Simon, Stefan
2019
Optimal control of time-discrete two-phase flow driven by a diffuse-interface model. Zbl 1437.35575
Garcke, Harald; Hinze, Michael; Kahle, Christian
2019
Swim-like motion of bodies immersed in an ideal fluid. Zbl 1434.74054
Zoppello, Marta; Cardin, Franco
2019
On the codimension of the abnormal set in step two Carnot groups. Zbl 1444.53024
Ottazzi, Alessandro; Vittone, Davide
2019
The minimal resistance problem in a class of non convex bodies. Zbl 1439.49078
Mainini, Edoardo; Monteverde, Manuel; Oudet, Edouard; Percivale, Danilo
2019
$$\Gamma$$-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach. Zbl 1442.49017
Fleißner, Florentine
2019
On the data completion problem and the inverse obstacle problem with partial Cauchy data for Laplace’s equation. Zbl 1445.35325
Caubet, Fabien; Dardé, Jérémi; Godoy, Matías
2019
Control and stabilization of the periodic fifth order Korteweg-de Vries equation. Zbl 1437.35610
Flores, Cynthia; Smith, Derek L.
2019
A note on relaxation with constraints on the determinant. Zbl 1437.49026
Cicalese, Marco; Fusco, Nicola
2019
On the total variation Wasserstein gradient flow and the TV-JKO scheme. Zbl 07194581
Carlier, Guillaume; Poon, Clarice
2019
Gradient flow approach to an exponential thin film equation: global existence and latent singularity. Zbl 1442.35185
Gao, Yuan; Liu, Jian-Guo; Lu, Xin Yang
2019
Regularity and stability of coupled plate equations with indirect structural or Kelvin-Voigt damping. Zbl 1437.35655
Han, Zhong-Jie; Liu, Zhuangyi
2019
Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces. Zbl 1439.49059
Gerolin, Augusto; Kausamo, Anna; Rajala, Tapio
2019
Symmetric double bubbles in the Grushin plane. Zbl 1439.53033
Franceschi, Valentina; Stefani, Giorgio
2019
Geodesics of minimal length in the set of probability measures on graphs. Zbl 07194617
Gangbo, Wilfrid; Li, Wuchen; Mou, Chenchen
2019
On the 1D wave equation in time-dependent domains and the problem of debond initiation. Zbl 1437.35445
Lazzaroni, Giuliano; Nardini, Lorenzo
2019
A perfect reconstruction property for PDE-constrained total-variation minimization with application in quantitative susceptibility mapping. Zbl 1437.35680
Bredies, Kristian; Vicente, David
2019
Pointwise feedback stabilization of an Euler-Bernoulli beam in observations with time delay. Zbl 1437.35198
Yang, Kun-Yi; Wang, Jun-Min
2019
A FE-ADMM algorithm for Lavrentiev-regularized state-constrained elliptic control problem. Zbl 1437.49003
Chen, Zixuan; Song, Xiaoliang; Zhang, Xuping; Yu, Bo
2019
The bang-bang property of time and norm optimal control problems for parabolic equations with time-varying fractional Laplacian. Zbl 1437.49037
Yu, Xin; Zhang, Liang
2019
Ergodic control of infinite-dimensional stochastic differential equations with degenerate noise. Zbl 1437.60037
Cosso, Andrea; Guatteri, Giuseppina; Tessitore, Gianmario
2019
Relaxation of nonlinear elastic energies involving the deformed configuration and applications to nematic elastomers. Zbl 1437.49029
Mora-Corral, Carlos; Oliva, Marcos
2019
Dynamic models of Wasserstein-1-type unbalanced transport. Zbl 07194562
Schmitzer, Bernhard; Wirth, Benedikt
2019
Constrained null controllability for distributed systems and applications to hyperbolic-like equations. Zbl 1447.93023
Berrahmoune, Larbi
2019
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#### Cited by 7,079 Authors

 58 Kunisch, Karl 45 Fernández-Cara, Enrique 45 Zuazua, Enrique 41 Trélat, Emmanuel 40 Xu, Gen-Qi 36 Casas, Eduardo 34 Stefanelli, Ulisse 33 Ammari, Kais 33 Neff, Patrizio 32 Coron, Jean-Michel 29 Guerrero, Sergio 28 Guo, Bao-Zhu 28 Nicaise, Serge 27 Rosier, Lionel 26 Cannarsa, Piermarco 26 Rossi, Julio Daniel 25 Gomes, Diogo Luís Aguiar 25 Münch, Arnaud 25 Tang, Xianhua 25 Teel, Andrew Richard 24 Rossi, Riccarda 23 Beauchard, Karine 23 Mielke, Alexander 23 Pazoto, Ademir Fernando 23 Prieur, Christophe 23 Sachkov, Yuriĭ Leonidovich 22 Allaire, Grégoire 22 Bonnard, Bernard 21 Cavalcanti, Marcelo Moreira 21 Ervedoza, Sylvain 21 Gaudiello, Antonio 21 Karafyllis, Iasson 21 Kružík, Martin 21 Pedregal, Pablo 21 Raymond, Jean-Pierre 20 Alabau-Boussouira, Fatiha 20 Imanuvilov, Oleg Yu. 20 Tröltzsch, Fredi 19 Cardaliaguet, Pierre 19 Han, Zhongjie 19 Sira-Ramírez, Hebertt J. 19 Takahashi, Takéo 19 Tucsnak, Marius 19 Wang, Junmin 18 Grüne, Lars 18 Gugat, Martin 18 Katzourakis, Nikolaos I. 18 López-Cerdá, Marco Antonio 18 Rösch, Arnd 18 Yamamoto, Masahiro 18 Zhang, Bingyu 17 Alves, Claudianor Oliveira 17 Boscain, Ugo 17 Bressan, Alberto 17 Fliess, Michel 17 Le Rousseau, Jérôme H. 17 Li, Tatsien 17 Messaoudi, Salim A. 17 Puel, Jean-Pierre 17 Wachsmuth, Daniel 17 Wang, Gengsheng 16 Attouch, Hedy 16 Ayala, Victor 16 Benabdallah, Assia 16 Clason, Christian 16 de Teresa, Luz 16 Domingos Cavalcanti, Valéria Neves 16 Gao, Hang 16 Glass, Olivier 16 Hassine, Maatoug 16 Krstić, Miroslav 16 Maniar, Lahcen 16 Micu, Sorin 16 Rao, Bopeng 16 Santambrogio, Filippo 16 Vexler, Boris 16 Zaslavski, Alexander Yakovlevich 15 Ambrosio, Vincenzo 15 Cerpa, Eduardo 15 Hinze, Michael 15 Ignat, Radu 15 Leugering, Günter 15 Mustafa, Muhammad Islam 15 Novotny, Antonio André 15 Orlandi, Giandomenico 15 Valdinoci, Enrico 15 Zappale, Elvira 14 Boccardo, Lucio 14 Garcke, Harald 14 Gauthier, Jean-Paul A. 14 González-Burgos, Manuel 14 Periago, Francisco 14 Rifford, Ludovic 14 Roubíček, Tomáš 13 Barbu, Viorel 13 Barilari, Davide 13 Chen, Mo 13 Chentouf, Boumediène 13 Colombo, Rinaldo M. 13 Dapogny, Charles ...and 6,979 more Authors
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#### Cited in 543 Journals

 427 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 273 Journal of Differential Equations 247 Journal of Mathematical Analysis and Applications 233 SIAM Journal on Control and Optimization 186 Automatica 180 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 180 Systems & Control Letters 177 Calculus of Variations and Partial Differential Equations 140 Journal de Mathématiques Pures et Appliquées. Neuvième Série 133 Archive for Rational Mechanics and Analysis 129 Journal of Optimization Theory and Applications 115 International Journal of Control 104 Comptes Rendus. Mathématique. Académie des Sciences, Paris 95 Discrete and Continuous Dynamical Systems 91 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 89 Applicable Analysis 89 Applied Mathematics and Optimization 89 SIAM Journal on Mathematical Analysis 88 Mathematical Control and Related Fields 77 Journal of Functional Analysis 71 Computer Methods in Applied Mechanics and Engineering 69 NoDEA. Nonlinear Differential Equations and Applications 68 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 65 ZAMP. Zeitschrift für angewandte Mathematik und Physik 65 Journal of Dynamical and Control Systems 59 Communications in Partial Differential Equations 57 Journal of Mathematical Physics 54 Computational Optimization and Applications 51 Journal of Computational Physics 51 MCSS. Mathematics of Control, Signals, and Systems 51 Evolution Equations and Control Theory 50 Set-Valued and Variational Analysis 48 Communications on Pure and Applied Analysis 47 Annali di Matematica Pura ed Applicata. Serie Quarta 45 Computers & Mathematics with Applications 45 Mathematical Methods in the Applied Sciences 45 Discrete and Continuous Dynamical Systems. Series S 44 Numerische Mathematik 41 Inverse Problems 41 Nonlinear Analysis. Real World Applications 41 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 37 Journal of the Franklin Institute 37 Applied Mathematics and Computation 36 Acta Applicandae Mathematicae 36 Mathematical Programming. Series A. Series B 36 SIAM Journal on Scientific Computing 35 Communications in Contemporary Mathematics 35 Journal of Evolution Equations 34 Journal of Computational and Applied Mathematics 34 Transactions of the American Mathematical Society 33 Optimization 32 Numerical Functional Analysis and Optimization 32 Journal of Elasticity 31 Journal of Scientific Computing 31 Journal of Mathematical Sciences (New York) 30 Journal of Inverse and Ill-Posed Problems 30 European Journal of Control 30 Journal of the European Mathematical Society (JEMS) 29 Nonlinearity 29 Applied Mathematics Letters 29 Journal of Nonlinear Science 29 Discrete and Continuous Dynamical Systems. Series B 28 Complex Variables and Elliptic Equations 26 SIAM Journal on Optimization 26 Advances in Calculus of Variations 25 Mathematics and Mechanics of Solids 24 Chinese Annals of Mathematics. Series B 23 SIAM Journal on Numerical Analysis 23 Mathematical Problems in Engineering 23 Journal of Systems Science and Complexity 23 Networks and Heterogeneous Media 22 Communications in Mathematical Physics 22 Proceedings of the American Mathematical Society 22 Journal of Global Optimization 22 SIAM Journal on Applied Mathematics 22 Advances in Nonlinear Analysis 21 Advances in Mathematics 21 International Journal of Robust and Nonlinear Control 21 Differential Equations 20 Mediterranean Journal of Mathematics 19 Communications on Pure and Applied Mathematics 19 Journal of Mathematical Imaging and Vision 19 Inverse Problems in Science and Engineering 19 Asian Journal of Control 18 Journal of Dynamics and Differential Equations 18 Abstract and Applied Analysis 18 Journal of Mathematical Fluid Mechanics 17 Boundary Value Problems 17 Nonlinear Analysis. Hybrid Systems 16 Applied Numerical Mathematics 16 Asymptotic Analysis 16 The Journal of Geometric Analysis 16 Vietnam Journal of Mathematics 16 Advances in Difference Equations 16 Journal of Fixed Point Theory and Applications 16 Optimization Letters 15 Mathematics of Computation 15 Mathematische Annalen 15 Advances in Computational Mathematics 15 Milan Journal of Mathematics ...and 443 more Journals
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#### Cited in 60 Fields

 3,953 Partial differential equations (35-XX) 2,332 Calculus of variations and optimal control; optimization (49-XX) 2,221 Systems theory; control (93-XX) 887 Mechanics of deformable solids (74-XX) 828 Numerical analysis (65-XX) 513 Operations research, mathematical programming (90-XX) 486 Fluid mechanics (76-XX) 393 Ordinary differential equations (34-XX) 359 Operator theory (47-XX) 286 Probability theory and stochastic processes (60-XX) 267 Global analysis, analysis on manifolds (58-XX) 263 Differential geometry (53-XX) 234 Dynamical systems and ergodic theory (37-XX) 227 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 201 Mechanics of particles and systems (70-XX) 193 Statistical mechanics, structure of matter (82-XX) 175 Biology and other natural sciences (92-XX) 166 Optics, electromagnetic theory (78-XX) 158 Functional analysis (46-XX) 119 Real functions (26-XX) 118 Information and communication theory, circuits (94-XX) 106 Quantum theory (81-XX) 104 Computer science (68-XX) 78 Integral equations (45-XX) 62 Classical thermodynamics, heat transfer (80-XX) 58 Measure and integration (28-XX) 55 Topological groups, Lie groups (22-XX) 45 Convex and discrete geometry (52-XX) 43 Difference and functional equations (39-XX) 38 Statistics (62-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 30 Functions of a complex variable (30-XX) 28 Potential theory (31-XX) 24 Geophysics (86-XX) 23 Approximations and expansions (41-XX) 19 Combinatorics (05-XX) 19 General topology (54-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 15 Special functions (33-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Integral transforms, operational calculus (44-XX) 10 Geometry (51-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) 6 Nonassociative rings and algebras (17-XX) 5 General and overarching topics; collections (00-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 4 Associative rings and algebras (16-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Mathematics education (97-XX) 1 $$K$$-theory (19-XX) 1 Relativity and gravitational theory (83-XX)