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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=121
http://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.
all top 5

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
all top 5

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)

Publications by Year

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
156
1997
Stabilization of wave systems with input delay in the boundary control. Zbl 1105.35016
Xu, Gen Qi; Yung, Siu Pang; Li, Leong Kwan
137
2006
A new method to obtain decay rate estimates for dissipative systems. Zbl 0923.35027
Martinez, Patrick
119
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
96
2012
Design-dependent loads in topology optimization. Zbl 1066.49029
Bourdin, Blaise; Chambolle, Antonin
86
2003
A level-set approach for inverse problems involving obstacles. Zbl 0870.49016
Santosa, Fadil
83
1996
Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions. Zbl 0927.34034
Bacciotti, Andrea; Ceragioli, Francesca
80
1999
Stabilization of second order evolution equations by a class of unbounded feedbacks. Zbl 0992.93039
Ammari, Kais; Tucsnak, Marius
79
2001
Remarks on exact controllability for the Navier-Stokes equations. Zbl 0961.35104
Imanuvilov, Oleg Yu.
78
2001
On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions. Zbl 0872.93040
Coron, Jean-Michel
74
1996
Characterizations of error bounds for lower semicontinuous functions on metric spaces. Zbl 1085.49019
Azé, Dominique; Corvellec, Jean-Noël
72
2004
New Farkas-type constraint qualifications in convex infinite programming. Zbl 1126.90059
Dinh, Nguyen; Goberna, Miguel A.; López, Marco A.; Son, Ta Quang
67
2007
A smooth Lyapunov function from a class-\(\mathcal{KL}\) estimate involving two positive semidefinite functions. Zbl 0953.34042
Teel, Andrew R.; Praly, Laurent
67
2000
Boundary layer tails in periodic homogenization. Zbl 0922.35014
Allaire, Grégoire; Amar, Micol
65
1999
BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
64
2012
A positive solution for an asymptotically linear elliptic problem on \(\mathbb R^{N}\) autonomous at infinity. Zbl 1225.35088
Jeanjean, Louis; Tanaka, Kazunaga
63
2002
Weak linking theorems and Schrödinger equations with critical Sobolev exponent. Zbl 1173.35482
Schechter, Martin; Zou, Wenming
62
2003
Combined effects for fractional Schrödinger-Kirchhoff systems with critical nonlinearities. Zbl 1453.35184
Xiang, Mingqi; Rădulescu, Vicenţiu D.; Zhang, Binlin
59
2018
Mean field games systems of first order. Zbl 1319.35273
Cardaliaguet, Pierre; Graber, P. Jameson
59
2015
Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027
Gérard, P.
58
1998
On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications. Zbl 1143.35037
Diening, Lars; Málek, Josef; Steinhauer, Mark
57
2008
Inverse problems in spaces of measures. Zbl 1266.65083
Bredies, Kristian; Pikkarainen, Hanna Katriina
55
2013
Tracking with prescribed transient behaviour. Zbl 1044.93022
Ilchmann, Achim; Ryan, E. P.; Sangwin, C. J.
53
2002
An algebraic framework for linear identification. Zbl 1063.93014
Fliess, Michel; Sira-Ramírez, Hebertt
53
2003
Control of the continuity equation with a non local flow. Zbl 1232.35176
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali
53
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
51
2008
A duality-based approach to elliptic control problems in non-reflexive Banach spaces. Zbl 1213.49041
Clason, Christian; Kunisch, Karl
51
2011
Unique continuation and decay for the Korteweg-de Vries equation with localized damping. Zbl 1148.35348
Pazoto, Ademir Fernando
51
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
51
2006
Exact boundary controllability of 3-D Euler equation. Zbl 0940.93012
Glass, Olivier
50
2000
Stabilization of second order evolution equations with unbounded feedback with delay. Zbl 1217.93144
Nicaise, Serge; Valein, Julie
49
2010
Mean-field optimal control. Zbl 1305.49004
Fornasier, Massimo; Solombrino, Francesco
48
2014
A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010
Braides, Andrea; Fonseca, Irene; Leoni, Giovanni
48
2000
Convergence and regularization results for optimal control problems with sparsity functional. Zbl 1228.49032
Wachsmuth, Gerd; Wachsmuth, Daniel
48
2011
Dirichlet problems with singular and gradient quadratic lower order terms. Zbl 1147.35034
Boccardo, Lucio
47
2008
Ground states for fractional magnetic operators. Zbl 1400.49059
d’Avenia, Pietro; Squassina, Marco
47
2018
A Hamilton-Jacobi approach to junction problems and application to traffic flows. Zbl 1262.35080
Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa
44
2013
Gradient flows of non convex functionals in Hilbert spaces and applications. Zbl 1116.34048
Rossi, Riccarda; Savaré, Giuseppe
43
2006
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
43
2002
Null controllability of the semilinear heat equation. Zbl 0897.93011
Fernández-Cara, E.
43
1997
Remarks on non controllability of the heat equation with memory. Zbl 1258.93026
Guerrero, Sergio; Imanuvilov, Oleg Yurievich
43
2013
Maxwell strata in sub-Riemannian problem on the group of motions of a plane. Zbl 1217.49037
Moiseev, Igor; Sachkov, Yuri L.
43
2010
Control of the surface of a fluid by a wavemaker. Zbl 1094.93014
Rosier, Lionel
43
2004
Scaling laws for non-Euclidean plates and the \(W^{2,2}\) isometric immersions of Riemannian metrics. Zbl 1300.74028
Lewicka, Marta; Pakzad, Mohammad Reza
42
2011
Error estimates for the numerical approximation of semilinear elliptic control problems with finitely many state constraints. Zbl 1066.49018
Casas, Eduardo
42
2002
Discrete mechanics and optimal control: an analysis. Zbl 1357.49120
Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E.
41
2011
Variational approach to shape derivatives. Zbl 1357.49148
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
40
2008
Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems. Zbl 1040.93031
Xu, Cheng-Zhong; Sallet, Gauthier
40
2002
Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients. Zbl 1092.93006
Doubova, Anna; Osses, A.; Puel, J.-P.
40
2002
On the controllability of the Burger equation. Zbl 0897.93034
Horsin, T.
40
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.
40
2011
The pseudo-\(p\)-Laplace eigenvalue problem and viscosity solutions as \(p\to\infty\). Zbl 1092.35074
Belloni, Marino; Kawohl, Bernd
40
2004
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. Zbl 1357.49043
Mielke, Alexander; Ortiz, Michael
39
2008
Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane. Zbl 1208.49003
Sachkov, Yuri L.
39
2010
Multiplicity and concentration of positive solutions for the fractional Schrödinger-Poisson systems with critical growth. Zbl 06811887
Liu, Zhisu; Zhang, Jianjun
39
2017
Patchy vector fields and asymptotic stabilization. Zbl 0924.34058
Ancona, Fabio; Bressan, Alberto
39
1999
Single input controllability of a simplified fluid-structure interaction model. Zbl 1270.35259
Liu, Yuning; Takahashi, Takéo; Tucsnak, Marius
39
2013
Numerical minimization of eigenmodes of a membrane with respect to the domain. Zbl 1076.74045
Oudet, Édouard
39
2004
Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014
Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel
38
2007
Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090
Gugat, Martin; Herty, Michaël
37
2011
Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations. Zbl 1111.49017
Tröltzsch, Fredi; Wachsmuth, Daniel
37
2006
Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054
De Gournay, Frédéric; Allaire, Grégoire; Jouve, François
37
2008
Curl bounds grad on \(\mathrm{SO}(3)\). Zbl 1139.74008
Neff, Patrizio; Münch, Ingo
37
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.
37
2014
Time-dependent mean-field games in the superquadratic case. Zbl 1339.35090
Gomes, Diogo A.; Pimentel, Edgard; Sánchez-Morgado, Héctor
36
2016
Homogenization of the compressible Navier-Stokes equations in a porous medium. Zbl 1071.76047
Masmoudi, Nader
36
2002
Biaxiality in the asymptotic analysis of a 2D Landau-de Gennes model for liquid crystals. Zbl 1311.35209
Canevari, Giacomo
36
2015
Multi-phase structural optimization via a level set method. Zbl 1287.49045
Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G.
36
2014
Néel and cross-tie wall energies for planar micromagnetic configurations. Zbl 1092.82047
Alouges, François; Rivière, Tristan; Serfaty, Sylvia
35
2002
On singular elliptic equations with measure sources. Zbl 1337.35060
Oliva, Francescantonio; Petitta, Francesco
35
2016
Regularization of linear least squares problems by total bounded variation. Zbl 0890.49010
Chavent, G.; Kunisch, K.
35
1997
On some nonlinear partial differential equations involving the \(``1"\)-Laplacian and critical Sobolev exponent. Zbl 0939.35070
Demengel, Françoise
35
1999
Towards a two-scale calculus. Zbl 1110.35009
Visintin, Augusto
34
2006
On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032
Desvillettes, L.; Villani, Cédric
34
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
34
2003
Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions. Zbl 1221.35393
Cingolani, Silvia; Jeanjean, Louis; Secchi, Simone
34
2009
Sub-Riemannian sphere in Martinet flat case. Zbl 0902.53033
Agrachev, A.; Bonnard, B.; Chyba, M.; Kupka, I.
34
1997
Controllability and observability of linear delay systems: An algebraic approach. Zbl 0908.93013
Fliess, M.; Mounier, H.
34
1998
Learning in mean field games: the fictitious play. Zbl 1365.35183
Cardaliaguet, Pierre; Hadikhanloo, Saeed
33
2017
On the curvature and torsion effects in one-dimensional waveguides. Zbl 1139.49043
Bouchitté, Guy; Mascarenhas, M. Luísa; Trabucho, Luís
33
2007
Overdetermined problems with fractional Laplacian. Zbl 1329.35223
Fall, Mouhamed Moustapha; Jarohs, Sven
33
2015
Equivalence of control systems with linear systems on Lie groups and homogeneous spaces. Zbl 1210.93024
Jouan, Philippe
32
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
32
2010
Bellman equation and viscosity solutions for mean-field stochastic control problem. Zbl 1396.93134
Pham, Huyên; Wei, Xiaoli
32
2018
Spatially-distributed coverage optimization and control with limited-range interactions. Zbl 1080.90070
Cortés, Jorge; Martínez, Sonia; Bullo, Francesco
32
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.
32
2002
Global controllability and stabilization for the nonlinear Schrödinger equation on an interval. Zbl 1217.93032
Laurent, Camille
32
2010
Indirect stabilization of locally coupled wave-type systems. Zbl 1259.35034
Alabau-Boussouira, Fatiha; Léautaud, Matthieu
31
2012
A Hölder infinity Laplacian. Zbl 1255.35078
Chambolle, Antonin; Lindgren, Erik; Monneau, Régis
31
2012
The topological asymptotic for the Navier-Stokes equations. Zbl 1123.35040
Amstutz, Samuel
31
2005
Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. Zbl 1071.76012
Coron, Jean-Michel
31
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.
31
2002
Stabilization of Timoshenko beam by means of pointwise controls. Zbl 1068.93024
Xu, Gen-Qi; Yung, Siu Pang
31
2003
New regularity results and improved error estimates for optimal control problems with state constraints. Zbl 1293.49044
Casas, Eduardo; Mateos, Mariano; Vexler, Boris
31
2014
Clocks and insensitivity to small measurement errors. Zbl 0984.93068
Sontag, Eduardo D.
31
1999
Feedback stabilization of Navier-Stokes equations. Zbl 1076.93037
Barbu, Viorel
30
2003
Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems. Zbl 0872.93039
Fabre, Caroline
30
1996
Time optimal control of the heat equation with pointwise control constraints. Zbl 1272.35109
Kunisch, Karl; Wang, Lijuan
30
2013
Weighted energy-dissipation functionals for gradient flows. Zbl 1218.35007
Mielke, Alexander; Stefanelli, Ulisse
29
2011
Carleman estimates for the nonstationary Lamé system and the application to an inverse problem. Zbl 1089.35086
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
29
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
4
2022
Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue. Zbl 07466627
Ftouh, Ilias
2
2022
Extended mean-field control problem with partial observation. Zbl 1485.93638
Nie, Tianyang; Yan, Ke
2
2022
Ergodic risk-sensitive control of Markov processes on countable state space revisited. Zbl 1493.90218
Biswas, Anup; Pradhan, Somnath
2
2022
Typicality results for weak solutions of the incompressible Navier-Stokes equations. Zbl 1492.35181
Colombo, Maria; De Rosa, Luigi; Sorella, Massimo
1
2022
Extended McKean-Vlasov optimal stochastic control applied to smart grid management,. Zbl 1497.93240
Gobet, Emmanuel; Grangereau, Maxime
1
2022
On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds. Zbl 1496.53041
Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele
1
2022
Stabilization and approximate null-controllability for a large class of diffusive equations from thick control supports. Zbl 1485.93442
Alphonse, Paul; Martin, Jérémy
1
2022
Equilibrium price formation with a major player and its mean field limit. Zbl 1485.49047
Fujii, Masaaki; Takahashi, Akihiko
1
2022
Continuous feedback stabilization of nonlinear control systems by composition operators. Zbl 1492.93135
Christopherson, Bryce A.; Mordukhovich, Boris S.; Jafari, Farhad
1
2022
A primal-dual flow for affine constrained convex optimization. Zbl 1500.90048
Luo, Hao
1
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
17
2021
Neumann and Robin type boundary conditions in fractional Orlicz-Sobolev spaces. Zbl 1470.35387
Bahrouni, Sabri; Salort, Ariel M.
8
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
7
2021
Time-inconsistent stochastic optimal control problems and backward stochastic Volterra integral equations. Zbl 1467.93339
Wang, Hanxiao; Yong, Jiongmin
6
2021
Linear hyperbolic systems on networks: well-posedness and qualitative properties. Zbl 07369225
Fijavž, Marjeta Kramar; Mugnolo, Delio; Nicaise, Serge
5
2021
Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation. Zbl 07369232
Kunisch, Karl; Walter, Daniel
5
2021
The turnpike property in semilinear control. Zbl 1473.49044
Pighin, Dario
5
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
5
2021
Long time behavior and turnpike solutions in mildly non-monotone mean field games. Zbl 1471.91028
Cirant, Marco; Porretta, Alessio
4
2021
Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances. Zbl 1467.93272
Schmid, Jochen; Zwart, Hans
4
2021
Approximation of null controls for semilinear heat equations using a least-squares approach. Zbl 1468.35086
Lemoine, Jérôme; Marín-Gayte, Irene; Münch, Arnaud
4
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
3
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
3
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.
3
2021
An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model. Zbl 1473.35449
López-Ríos, J.; Villamizar-Roa, Élder J.
3
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
3
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
3
2021
An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams. Zbl 1467.49032
Buttazzo, Giuseppe; Pratelli, Aldo
3
2021
A hierarchy of multilayered plate models. Zbl 1468.74033
de Benito Delgado, Miguel; Schmidt, Bernd
3
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.
3
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
2
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Global gradient estimates for nonlinear parabolic operators. Zbl 1469.35068
Dipierro, Serena; Gao, Zu; Valdinoci, Enrico
2
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Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems. Zbl 1481.65218
Oudet, Édouard; Kao, Chiu-Yen; Osting, Braxton
2
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Linear convergence of accelerated conditional gradient algorithms in spaces of measures. Zbl 1483.65089
Pieper, Konstantin; Walter, Daniel
2
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Erratum to: “Cylindrical optimal rearrangement problem leading to a new type obstacle problem”. Zbl 1464.49002
Mikayelyan, Hayk
2
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Linear-quadratic optimal control for backward stochastic differential equations with random coefficients. Zbl 1467.93337
Sun, Jingrui; Wang, Hanxiao
2
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Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping. Zbl 1468.35020
Luo, Jun-Ren; Xiao, Ti-Jun
2
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Symmetry results for variational energies on convex polygons. Zbl 1468.49047
Bucur, Dorin; Fragalà, Ilaria
2
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Convergence of the natural \(p\)-means for the \(p\)-Laplacian. Zbl 1479.35486
Manfredi, Juan J.; Stroffolini, Bianca
2
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Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation. Zbl 1473.35435
Bianchini, Roberta; Natalini, Roberto
2
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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
2
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Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains. Zbl 1475.35226
Casas, Eduardo; Kunisch, Karl
2
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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
2
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Stabilization of the response of cyclically loaded lattice spring models with plasticity. Zbl 1484.74035
Gudoshnikov, Ivan; Makarenkov, Oleg
2
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Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation. Zbl 1468.35048
Christof, Constantin; Müller, Georg
2
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Shape derivatives for an augmented Lagrangian formulation of elastic contact problems. Zbl 1468.35067
Chaudet-Dumas, Bastien; Deteix, Jean
2
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Least gradient functions in metric random walk spaces. Zbl 1483.60068
Górny, Wojciech; Mazón, José M.
2
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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
1
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Second order necessary conditions for optimal control problems of evolution equations involving final point equality constraints. Zbl 1473.49028
Frankowska, Hélène; Lü, Qi
1
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Optimization of spatial control strategies for population replacement, application to Wolbachia. Zbl 1471.92250
Duprez, Michel; Hélie, Romane; Privat, Yannick; Vauchelet, Nicolas
1
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Local null controllability of a fluid-rigid body interaction problem with Navier slip boundary conditions. Zbl 1479.35607
Djebour, Imene Aicha
1
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Constrained nonsmooth problems of the calculus of variations. Zbl 1473.49023
Dolgopolik, Maksim
1
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Boundary controllability of a system modelling a partially immersed obstacle. Zbl 1473.35358
Vergara-Hermosilla, G.; Leugering, G.; Wang, Y.
1
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A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases. Zbl 1479.35594
Craciun, Gheorghe; Tran, Minh-Binh
1
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A policy iteration method for mean field games. Zbl 1473.49043
Cacace, Simone; Camilli, Fabio; Goffi, Alessandro
1
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Mean field approach to stochastic control with partial information. Zbl 1476.93156
Bensoussan, Alain; Yam, Sheung Chi Phillip
1
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Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation. Zbl 1479.35164
Lecaros, Rodrigo; Ortega, Jaime H.; Pérez, Ariel
1
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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
1
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Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions. Zbl 1483.53107
Cesaroni, A.; Kröner, H.; Novaga, M.
1
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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
1
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Singular perturbations and optimal control of stochastic systems in infinite dimension: HJB equations and viscosity solutions. Zbl 1468.35242
Święch, Andrzej
1
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Optimization of non-cylindrical domains for the exact null controllability of the 1D wave equation. Zbl 1467.49031
Bottois, Arthur; Cîndea, Nicolae; Münch, Arnaud
1
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First and second order optimality conditions for the control of Fokker-Planck equations. Zbl 1467.49002
Aronna, M. Soledad; Tröltzsch, Fredi
1
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A minimizing movement approach to a class of scalar reaction-diffusion equations. Zbl 1468.35085
Fleißner, Florentine Catharina
1
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The back-and-forth method for Wasserstein gradient flows. Zbl 1483.65104
Jacobs, Matt; Lee, Wonjun; Léger, Flavien
1
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Finite state \(N\)-agent and mean field control problems. Zbl 1468.35035
Cecchin, Alekos
1
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Regularity for the planar optimal \(p\)-compliance problem. Zbl 1469.49041
Bulanyi, Bohdan; Lemenant, Antoine
1
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Space of signatures as inverse limits of Carnot groups. Zbl 1494.22007
Le Donne, Enrico; Züst, Roger
1
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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
1
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Outer invariance entropy for discrete-time linear systems on Lie groups. Zbl 1467.93202
Colonius, Fritz; Cossich, João A. N.; Santana, Alexandre J.
1
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Exponential turnpike property for fractional parabolic equations with non-zero exterior data. Zbl 1468.35234
Warma, Mahamadi; Zamorano, Sebastián
1
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Bi-objective optimal control of some PDEs: Nash equilibria and quasi-equilibria. Zbl 1468.35109
Fernández-Cara, E.; Marín-Gayte, I.
1
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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
1
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On the Plateau-Douglas problem for the Willmore energy of surfaces with planar boundary curves. Zbl 1467.49041
Pozzetta, Marco
1
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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
1
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Oscillating PDE in a rough domain with a curved interface: homogenization of an optimal control problem. Zbl 1467.49004
Nandakumaran, A. K.; Sufian, Abu
1
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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
1
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A Zermelo navigation problem with a vortex singularity. Zbl 1467.49013
Bonnard, Bernard; Cots, Olivier; Wembe, Boris
1
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Social optima in leader-follower mean field linear quadratic control. Zbl 1467.91013
Huang, Jianhui; Wang, Bing-Chang; Xie, Tinghan
1
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Observability and unique continuation of the adjoint of a linearized simplified compressible fluid-structure model in a 2d channel. Zbl 1468.76057
Mitra, Sourav
1
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Optimal control of the two-dimensional Vlasov-Maxwell system. Zbl 1467.49021
Weber, Jörg
1
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Optimal control of higher order differential inclusions with functional constraints. Zbl 1447.49039
Mahmudov, Elimhan N.
13
2020
Hyperbolic Maxwell variational inequalities of the second kind. Zbl 1446.35079
Yousept, Irwin
12
2020
Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints. Zbl 1447.49035
Bergounioux, Maïtine; Bourdin, Loïc
12
2020
Improved regularity assumptions for partial outer convexification of mixed-integer PDE-constrained optimization problems. Zbl 1439.49023
Manns, Paul; Kirches, Christian
12
2020
Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth. Zbl 1451.35233
Ebenbeck, Matthias; Knopf, Patrik
11
2020
Optimal control of fractional semilinear PDEs. Zbl 1439.49008
Antil, Harbir; Warma, Mahamadi
10
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
9
2020
Towards a mathematical theory of behavioral swarms. Zbl 1459.82166
Bellomo, Nicola; Ha, Seung-Yeal; Outada, Nisrine
8
2020
On mean field games models for exhaustible commodities trade. Zbl 1437.35664
Graber, Philip Jameson; Mouzouni, Charafeddine
8
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
8
2020
Optimal control of stochastic phase-field models related to tumor growth. Zbl 1459.35415
Orrieri, Carlo; Rocca, Elisabetta; Scarpa, Luca
7
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
7
2020
External optimal control of fractional parabolic PDEs. Zbl 1444.35144
Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi
7
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
6
2020
Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states. Zbl 1441.93026
Floridia, G.; Nitsch, C.; Trombetti, C.
6
2020
Metric sub-regularity in optimal control of affine problems with free end state. Zbl 1448.49033
Osmolovskii, N. P.; Veliov, V. M.
5
2020
Minimizers of the prescribed curvature functional in a Jordan domain with no necks. Zbl 1459.49029
Leonardi, Gian Paolo; Saracco, Giorgio
5
2020
Stochastic linear quadratic Stackelberg differential game with overlapping information. Zbl 1461.91032
Shi, Jingtao; Wang, Guangchen; Xiong, Jie
5
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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
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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
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225 Automatica
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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
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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
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74 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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70 Communications in Partial Differential Equations
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64 Journal of Computational Physics
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64 Discrete and Continuous Dynamical Systems. Series S
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60 Computational Optimization and Applications
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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
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48 Applied Mathematics and Computation
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23 Mathematical Problems in Engineering
22 Mathematische Annalen
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21 European Journal of Applied Mathematics
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19 Applied Mathematical Modelling
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