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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: Journal; Indexed cover-to-cover
Documents Indexed: 1,522 Publications (since 1995)
References Indexed: 1,337 Publications with 37,824 References.
all top 5

Authors

21 Kunisch, Karl
16 Casas, Eduardo
13 Fernández-Cara, Enrique
11 Bonnard, Bernard
11 Li, Tatsien
11 Tröltzsch, Fredi
10 Guo, Bao-Zhu
9 Puel, Jean-Pierre
9 Raymond, Jean-Pierre
9 Yong, Jiongmin
8 Kružík, Martin
8 Rosier, Lionel
8 Takahashi, Takéo
7 Agrachev, Andreĭ Aleksandrovich
7 Carlier, Guillaume
7 Guerrero, Sergio
7 Gugat, Martin
7 Hintermüller, Michael
7 Karafyllis, Iasson
7 Krstić, Miroslav
7 Privat, Yannick
7 Rao, Bopeng
7 Tucsnak, Marius
7 Zidani, Hasnaa
6 Allaire, Grégoire
6 Amstutz, Samuel
6 Barbu, Viorel
6 Boscain, Ugo
6 Bressan, Alberto
6 Buttazzo, Giuseppe
6 de Teresa, Luz
6 Fonseca, Irene
6 Fusco, Nicola
6 Garcke, Harald
6 Imanuvilov, Oleg Yu.
6 Leugering, Günter
6 Moireau, Philippe
6 Münch, Arnaud
6 Nicaise, Serge
6 Sachkov, Yuriĭ Leonidovich
6 Sun, Jingrui
6 Trélat, Emmanuel
6 Wu, Zhen
5 Bardi, Martino
5 Bettiol, Piernicola
5 Bonnans, Joseph Frédéric
5 Braides, Andrea
5 Cannarsa, Piermarco
5 Chambolle, Antonin
5 Fliess, Michel
5 Frankowska, Hélène
5 Glowinski, Roland
5 Henrot, Antoine
5 Lebeau, Gilles
5 Loreti, Paola
5 Lü, Qi
5 Novaga, Matteo
5 Pazoto, Ademir Fernando
5 Pomet, Jean-Baptiste
5 Prieur, Christophe
5 Rouchon, Pierre
5 Stefanelli, Ulisse
5 Teel, Andrew Richard
5 Vanninathan, Muthusamy
5 Xiong, Jie
5 Yu, Zhiyong
4 Ancona, Fabio
4 Beauchard, Karine
4 Bergounioux, Maïtine
4 Boccardo, Lucio
4 Casado-Díaz, Juan
4 Cesaroni, Annalisa
4 Chitour, Yacine
4 Clason, Christian
4 Coron, Jean-Michel
4 Cots, Olivier
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 Lissy, Pierre
4 Liu, Yungang
4 Liu, Zhuangyi
4 Lorent, Andrew
4 Martinez, Patrick
4 Mielke, Alexander
4 Monneau, Régis
4 Osses, Axel
4 Oudet, Edouard
...and 1,942 more Authors
all top 5

Fields

783 Calculus of variations and optimal control; optimization (49-XX)
766 Partial differential equations (35-XX)
542 Systems theory; control (93-XX)
182 Mechanics of deformable solids (74-XX)
134 Numerical analysis (65-XX)
119 Operations research, mathematical programming (90-XX)
107 Probability theory and stochastic processes (60-XX)
107 Fluid mechanics (76-XX)
98 Ordinary differential equations (34-XX)
87 Operator theory (47-XX)
80 Differential geometry (53-XX)
71 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
51 Global analysis, analysis on manifolds (58-XX)
44 Dynamical systems and ergodic theory (37-XX)
38 Real functions (26-XX)
34 Functional analysis (46-XX)
33 Statistical mechanics, structure of matter (82-XX)
29 Mechanics of particles and systems (70-XX)
25 Biology and other natural sciences (92-XX)
22 Optics, electromagnetic theory (78-XX)
18 Computer science (68-XX)
17 Measure and integration (28-XX)
16 Quantum theory (81-XX)
15 Integral equations (45-XX)
14 Topological groups, Lie groups (22-XX)
12 Convex and discrete geometry (52-XX)
11 Information and communication theory, circuits (94-XX)
10 Classical thermodynamics, heat transfer (80-XX)
8 Difference and functional equations (39-XX)
7 Functions of a complex variable (30-XX)
7 Potential theory (31-XX)
6 Combinatorics (05-XX)
6 Approximations and expansions (41-XX)
5 Statistics (62-XX)
4 Nonassociative rings and algebras (17-XX)
4 Integral transforms, operational calculus (44-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 Harmonic analysis on Euclidean spaces (42-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 Geometry (51-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

Publications by Year

Citations contained in zbMATH Open

1,266 Publications have been cited 14,277 times in 10,899 Documents Cited by Year
Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain. Zbl 0873.93008
Rosier, Lionel
175
1997
Stabilization of wave systems with input delay in the boundary control. Zbl 1105.35016
Xu, Gen Qi; Yung, Siu Pang; Li, Leong Kwan
167
2006
A new method to obtain decay rate estimates for dissipative systems. Zbl 0923.35027
Martinez, Patrick
128
1999
Design-dependent loads in topology optimization. Zbl 1066.49029
Bourdin, Blaise; Chambolle, Antonin
116
2003
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
112
2012
A level-set approach for inverse problems involving obstacles. Zbl 0870.49016
Santosa, Fadil
92
1996
Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions. Zbl 0927.34034
Bacciotti, Andrea; Ceragioli, Francesca
87
1999
Stabilization of second order evolution equations by a class of unbounded feedbacks. Zbl 0992.93039
Ammari, Kais; Tucsnak, Marius
86
2001
Remarks on exact controllability for the Navier-Stokes equations. Zbl 0961.35104
Imanuvilov, Oleg Yu.
82
2001
On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions. Zbl 0872.93040
Coron, Jean-Michel
79
1996
New Farkas-type constraint qualifications in convex infinite programming. Zbl 1126.90059
Dinh, Nguyen; Goberna, Miguel A.; López, Marco A.; Son, Ta Quang
75
2007
A smooth Lyapunov function from a class-\(\mathcal{KL}\) estimate involving two positive semidefinite functions. Zbl 0953.34042
Teel, Andrew R.; Praly, Laurent
74
2000
Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027
Gérard, P.
74
1998
BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
74
2012
Characterizations of error bounds for lower semicontinuous functions on metric spaces. Zbl 1085.49019
Azé, Dominique; Corvellec, Jean-Noël
74
2004
Tracking with prescribed transient behaviour. Zbl 1044.93022
Ilchmann, Achim; Ryan, E. P.; Sangwin, C. J.
73
2002
Boundary layer tails in periodic homogenization. Zbl 0922.35014
Allaire, Grégoire; Amar, Micol
72
1999
Inverse problems in spaces of measures. Zbl 1266.65083
Bredies, Kristian; Pikkarainen, Hanna Katriina
72
2013
Mean field games systems of first order. Zbl 1319.35273
Cardaliaguet, Pierre; Graber, P. Jameson
70
2015
Combined effects for fractional Schrödinger-Kirchhoff systems with critical nonlinearities. Zbl 1453.35184
Xiang, Mingqi; Rădulescu, Vicenţiu D.; Zhang, Binlin
68
2018
A positive solution for an asymptotically linear elliptic problem on \(\mathbb R^{N}\) autonomous at infinity. Zbl 1225.35088
Jeanjean, Louis; Tanaka, Kazunaga
67
2002
On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications. Zbl 1143.35037
Diening, Lars; Málek, Josef; Steinhauer, Mark
66
2008
Weak linking theorems and Schrödinger equations with critical Sobolev exponent. Zbl 1173.35482
Schechter, Martin; Zou, Wenming
65
2003
Control of the continuity equation with a non local flow. Zbl 1232.35176
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali
64
2011
Ground states for fractional magnetic operators. Zbl 1400.49059
d’Avenia, Pietro; Squassina, Marco
64
2018
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
63
2006
Mean-field optimal control. Zbl 1305.49004
Fornasier, Massimo; Solombrino, Francesco
60
2014
Convergence and regularization results for optimal control problems with sparsity functional. Zbl 1228.49032
Wachsmuth, Gerd; Wachsmuth, Daniel
58
2011
An algebraic framework for linear identification. Zbl 1063.93014
Fliess, Michel; Sira-Ramírez, Hebertt
58
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
58
2008
Stabilization of second order evolution equations with unbounded feedback with delay. Zbl 1217.93144
Nicaise, Serge; Valein, Julie
56
2010
A duality-based approach to elliptic control problems in non-reflexive Banach spaces. Zbl 1213.49041
Clason, Christian; Kunisch, Karl
55
2011
Unique continuation and decay for the Korteweg-de Vries equation with localized damping. Zbl 1148.35348
Pazoto, Ademir Fernando
55
2005
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
55
2019
Exact boundary controllability of 3-D Euler equation. Zbl 0940.93012
Glass, Olivier
53
2000
Multiplicity and concentration of positive solutions for the fractional Schrödinger-Poisson systems with critical growth. Zbl 1516.35467
Liu, Zhisu; Zhang, Jianjun
52
2017
Dirichlet problems with singular and gradient quadratic lower order terms. Zbl 1147.35034
Boccardo, Lucio
52
2008
Single input controllability of a simplified fluid-structure interaction model. Zbl 1270.35259
Liu, Yuning; Takahashi, Takéo; Tucsnak, Marius
52
2013
Null controllability of the semilinear heat equation. Zbl 0897.93011
Fernández-Cara, E.
51
1997
A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010
Braides, Andrea; Fonseca, Irene; Leoni, Giovanni
51
2000
Remarks on non controllability of the heat equation with memory. Zbl 1258.93026
Guerrero, Sergio; Imanuvilov, Oleg Yurievich
51
2013
A Hamilton-Jacobi approach to junction problems and application to traffic flows. Zbl 1262.35080
Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa
50
2013
Discrete mechanics and optimal control: an analysis. Zbl 1357.49120
Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E.
49
2011
On singular elliptic equations with measure sources. Zbl 1337.35060
Oliva, Francescantonio; Petitta, Francesco
49
2016
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
48
2002
Error estimates for the numerical approximation of semilinear elliptic control problems with finitely many state constraints. Zbl 1066.49018
Casas, Eduardo
48
2002
Bellman equation and viscosity solutions for mean-field stochastic control problem. Zbl 1396.93134
Pham, Huyên; Wei, Xiaoli
48
2018
Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane. Zbl 1251.49057
Sachkov, Yuri L.
47
2011
Gradient flows of non convex functionals in Hilbert spaces and applications. Zbl 1116.34048
Rossi, Riccarda; Savaré, Giuseppe
47
2006
Maxwell strata in sub-Riemannian problem on the group of motions of a plane. Zbl 1217.49037
Moiseev, Igor; Sachkov, Yuri L.
46
2010
Learning in mean field games: the fictitious play. Zbl 1365.35183
Cardaliaguet, Pierre; Hadikhanloo, Saeed
46
2017
Curl bounds grad on \(\mathrm{SO}(3)\). Zbl 1139.74008
Neff, Patrizio; Münch, Ingo
45
2008
Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations. Zbl 1111.49017
Tröltzsch, Fredi; Wachsmuth, Daniel
45
2006
Overdetermined problems with fractional Laplacian. Zbl 1329.35223
Fall, Mouhamed Moustapha; Jarohs, Sven
45
2015
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.
45
2014
The pseudo-\(p\)-Laplace eigenvalue problem and viscosity solutions as \(p\to\infty\). Zbl 1092.35074
Belloni, Marino; Kawohl, Bernd
44
2004
Control of the surface of a fluid by a wavemaker. Zbl 1094.93014
Rosier, Lionel
44
2004
Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems. Zbl 1040.93031
Xu, Cheng-Zhong; Sallet, Gauthier
44
2002
Scaling laws for non-Euclidean plates and the \(W^{2,2}\) isometric immersions of Riemannian metrics. Zbl 1300.74028
Lewicka, Marta; Pakzad, Mohammad Reza
43
2011
Numerical minimization of eigenmodes of a membrane with respect to the domain. Zbl 1076.74045
Oudet, Édouard
43
2004
Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients. Zbl 1092.93006
Doubova, Anna; Osses, A.; Puel, J.-P.
43
2002
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. Zbl 1357.49043
Mielke, Alexander; Ortiz, Michael
43
2008
On some nonlinear partial differential equations involving the \(``1"\)-Laplacian and critical Sobolev exponent. Zbl 0939.35070
Demengel, Françoise
42
1999
On the controllability of the Burger equation. Zbl 0897.93034
Horsin, T.
42
1998
Patchy vector fields and asymptotic stabilization. Zbl 0924.34058
Ancona, Fabio; Bressan, Alberto
42
1999
Homogenization of the compressible Navier-Stokes equations in a porous medium. Zbl 1071.76047
Masmoudi, Nader
42
2002
Variational approach to shape derivatives. Zbl 1357.49148
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
42
2008
Multi-phase structural optimization via a level set method. Zbl 1287.49045
Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G.
42
2014
Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014
Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel
41
2007
Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090
Gugat, Martin; Herty, Michaël
40
2011
Regularization of linear least squares problems by total bounded variation. Zbl 0890.49010
Chavent, G.; Kunisch, K.
40
1997
Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions. Zbl 1221.35393
Cingolani, Silvia; Jeanjean, Louis; Secchi, Simone
40
2009
Biaxiality in the asymptotic analysis of a 2D Landau-de Gennes model for liquid crystals. Zbl 1311.35209
Canevari, Giacomo
40
2015
Time-dependent mean-field games in the superquadratic case. Zbl 1339.35090
Gomes, Diogo A.; Pimentel, Edgard; Sánchez-Morgado, Héctor
40
2016
Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane. Zbl 1208.49003
Sachkov, Yuri L.
40
2010
Towards a two-scale calculus. Zbl 1110.35009
Visintin, Augusto
39
2006
\(\mathcal{C}^{1,\beta}\) regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations. Zbl 1315.35108
Birindelli, I.; Demengel, F.
39
2014
Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054
De Gournay, Frédéric; Allaire, Grégoire; Jouve, François
38
2008
On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032
Desvillettes, L.; Villani, Cédric
38
2002
Sub-Riemannian sphere in Martinet flat case. Zbl 0902.53033
Agrachev, A.; Bonnard, B.; Chyba, M.; Kupka, I.
37
1997
Injective weak solutions in second-gradient nonlinear elasticity. Zbl 1175.74017
Healey, Timothy J.; Krömer, Stefan
37
2009
The topological asymptotic expansion for the quasi-Stokes problem. Zbl 1072.49027
Hassine, Maatoug; Masmoudi, Mohamed
37
2004
Néel and cross-tie wall energies for planar micromagnetic configurations. Zbl 1092.82047
Alouges, François; Rivière, Tristan; Serfaty, Sylvia
37
2002
Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain. Zbl 1202.93064
Zwart, Hans; Le Gorrec, Yann; Maschke, Bernhard; Villegas, Javier
37
2010
A Hölder infinity Laplacian. Zbl 1255.35078
Chambolle, Antonin; Lindgren, Erik; Monneau, Régis
37
2012
Indirect stabilization of locally coupled wave-type systems. Zbl 1259.35034
Alabau-Boussouira, Fatiha; Léautaud, Matthieu
36
2012
Global controllability and stabilization for the nonlinear Schrödinger equation on an interval. Zbl 1217.93032
Laurent, Camille
36
2010
On the curvature and torsion effects in one-dimensional waveguides. Zbl 1139.49043
Bouchitté, Guy; Mascarenhas, M. Luísa; Trabucho, Luís
36
2007
New regularity results and improved error estimates for optimal control problems with state constraints. Zbl 1293.49044
Casas, Eduardo; Mateos, Mariano; Vexler, Boris
36
2014
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.
36
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
36
2003
Controllability and observability of linear delay systems: An algebraic approach. Zbl 0908.93013
Fliess, M.; Mounier, H.
35
1998
The topological asymptotic for the Navier-Stokes equations. Zbl 1123.35040
Amstutz, Samuel
35
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.
35
2002
Stackelberg-Nash exact controllability for linear and semilinear parabolic equations. Zbl 1319.35280
Araruna, F. D.; Fernández-Cara, E.; Santos, M. C.
35
2015
Equivalence of control systems with linear systems on Lie groups and homogeneous spaces. Zbl 1210.93024
Jouan, Philippe
35
2010
A consensus-based global optimization method for high dimensional machine learning problems. Zbl 1480.60195
Carrillo, José A.; Jin, Shi; Li, Lei; Zhu, Yuhua
35
2021
Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. Zbl 1071.76012
Coron, Jean-Michel
34
2002
Time optimal control of the heat equation with pointwise control constraints. Zbl 1272.35109
Kunisch, Karl; Wang, Lijuan
34
2013
Spatially-distributed coverage optimization and control with limited-range interactions. Zbl 1080.90070
Cortés, Jorge; Martínez, Sonia; Bullo, Francesco
33
2005
Small-time local controllability of the bilinear Schrödinger equation with a nonlinear competition. Zbl 07798860
Bournissou, Mégane
1
2024
Optimal control of a parabolic equation with memory. Zbl 1512.49002
Casas, Eduardo; Yong, Jiongmin
3
2023
\( \Gamma \)-convergence and stochastic homogenisation of phase-transition functionals. Zbl 1521.49013
Marziani, Roberta
2
2023
Singular perturbations in stochastic optimal control with unbounded data. Zbl 1526.49014
Bardi, Martino; Kouhkouh, Hicham
2
2023
Controllability of the Schrödinger equation on unbounded domains without geometric control condition. Zbl 1521.93020
Täufer, Matthias
2
2023
\(G\)-convergence of elliptic and parabolic operators depending on vector fields. Zbl 1509.35052
Maione, A.; Paronetto, F.; Vecchi, E.
2
2023
A general comparison principle for Hamilton Jacobi Bellman equations on stratified domains. Zbl 1515.49010
Jerhaoui, Othmane; Zidani, Hasnaa
2
2023
Homogeneous geodesics in sub-Riemannian geometry. Zbl 1514.53099
Podobryaev, Alexey
2
2023
Indefinite backward stochastic linear-quadratic optimal control problems. Zbl 1521.93207
Sun, Jingrui; Wu, Zhen; Xiong, Jie
1
2023
Large population games with interactions through controls and common noise: convergence results and equivalence between open-loop and closed-loop controls. Zbl 07734411
Djete, Mao Fabrice
1
2023
Spacetime finite element methods for control problems subject to the wave equation. Zbl 07734413
Burman, Erik; Feizmohammadi, Ali; Münch, Arnaud; Oksanen, Lauri
1
2023
Optimal control for the Paneitz obstacle problem. Zbl 07734414
Ndiaye, Cheikh Birahim
1
2023
Strong unique continuation from the boundary for the spectral fractional Laplacian. Zbl 1522.35124
De Luca, Alessandra; Felli, Veronica; Siclari, Giovanni
1
2023
Control sets of linear control systems on \(\mathbb{R}^2\). The complex case. Zbl 1521.93071
Ayala, Víctor; Da Silva, Adriano; Mamani, Erik
1
2023
Mean-field limit of a hybrid system for multi-lane multi-class traffic. Zbl 1520.90077
Gong, Xiaoqian; Piccoli, Benedetto; Visconti, Giuseppe
1
2023
A free boundary problem in thermal insulation with a prescribed heat source. Zbl 1509.35387
Acampora, Paolo; Cristoforoni, Emanuele; Nitsch, Carlo; Trombetti, Cristina
1
2023
Convergence rates for energies of interacting particles whose distribution spreads out as their number increases. Zbl 07655157
van Meurs, Patrick; Tanaka, Ken’ichiro
1
2023
Phase-field methods for spectral shape and topology optimization. Zbl 1512.35411
Garcke, Harald; Hüttl, Paul; Kahle, Christian; Knopf, Patrik; Laux, Tim
1
2023
Classical solutions to local first-order extended mean field games. Zbl 1512.35585
Munoz, Sebastian
1
2023
Controllability and observability for some forward stochastic complex degenerate/singular Ginzburg-Landau equations. Zbl 1519.93037
Yu, Yongyi; Zhao, Qingmei
1
2023
Phase field topology optimisation for 4D printing. Zbl 1512.49007
Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Signori, Andrea
1
2023
Vanishing viscosity in mean-field optimal control. Zbl 1512.49025
Ciampa, Gennaro; Rossi, Francesco
1
2023
Controllability results for cascade systems of \(m\) coupled \(N\)-dimensional Stokes and Navier-Stokes systems by \(N - 1\) scalar controls. Zbl 07683241
Takahashi, Takéo; de Teresa, Luz; Wu-Zhang, Yingying
1
2023
Control problem for quadratic parabolic differential equations with sparse sensor sets of finite volume or anisotropically decaying density. Zbl 07798871
Dicke, Alexander; Seelmann, Albrecht; Veselić, Ivan
1
2023
A primal-dual flow for affine constrained convex optimization. Zbl 1500.90048
Luo, Hao
6
2022
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
6
2022
Extended mean-field control problem with partial observation. Zbl 1485.93638
Nie, Tianyang; Yan, Ke
6
2022
Ergodic risk-sensitive control of Markov processes on countable state space revisited. Zbl 1493.90218
Biswas, Anup; Pradhan, Somnath
5
2022
Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue. Zbl 1523.35230
Ftouh, Ilias
5
2022
Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations. Zbl 1506.35080
Corella, Alberto Domínguez; Jork, Nicolai; Veliov, Vladimir
4
2022
Stabilization and approximate null-controllability for a large class of diffusive equations from thick control supports. Zbl 1485.93442
Alphonse, Paul; Martin, Jérémy
4
2022
Equilibrium price formation with a major player and its mean field limit. Zbl 1485.49047
Fujii, Masaaki; Takahashi, Akihiko
4
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On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds. Zbl 1496.53041
Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele
4
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Exact boundary synchronization for a kind of first order hyperbolic system. Zbl 1492.93021
Li, Tatsien; Lu, Xing
3
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Typicality results for weak solutions of the incompressible Navier-Stokes equations. Zbl 1492.35181
Colombo, Maria; De Rosa, Luigi; Sorella, Massimo
3
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The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds. Zbl 1498.53060
Antonelli, Gioacchino; Nardulli, Stefano; Pozzetta, Marco
3
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Sequential linear integer programming for integer optimal control with total variation regularization. Zbl 1500.49016
Leyffer, Sven; Manns, Paul
3
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Long time dynamics and upper semi-continuity of attractors for piezoelectric beams with nonlinear boundary feedback. Zbl 1501.74032
Freitas, M. M.; Özer, A. Ö.; Ramos, A. J. A.
3
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On the graphon mean field game equations: individual agent affine dynamics and mean field dependent performance functions. Zbl 1492.91041
Caines, Peter E.; Ho, Daniel; Huang, Minyi; Jian, Jiamin; Song, Qingshuo
2
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Continuous feedback stabilization of nonlinear control systems by composition operators. Zbl 1492.93135
Christopherson, Bryce A.; Mordukhovich, Boris S.; Jafari, Farhad
2
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General indefinite backward stochastic linear-quadratic optimal control problems. Zbl 1492.93206
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2
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Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type. Zbl 1526.49026
Candau-Tilh, Jules; Goldman, Michael
2
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Structure of optimal control for planetary landing with control and state constraints. Zbl 1503.49007
Leparoux, Clara; Hérissé, Bruno; Jean, Frédéric
2
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A mean-field stochastic linear-quadratic optimal control problem with jumps under partial information. Zbl 1498.93795
Yang, Yiyun; Tang, Maoning; Meng, Qingxin
2
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A general maximum principle for progressive optimal stochastic control problems with Markov regime-switching. Zbl 1503.93051
Song, Yuanzhuo; Wu, Zhen
2
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Cut time in the sub-Riemannian problem on the Cartan group. Zbl 1507.53028
Ardentov, Andrei; Hakavuori, Eero
2
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A novel \(W^{1,\infty}\) approach to shape optimisation with Lipschitz domains. Zbl 1483.35299
Deckelnick, Klaus; Herbert, Philip J.; Hinze, Michael
2
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Optimization with learning-informed differential equation constraints and its applications. Zbl 1481.49028
Dong, Guozhi; Hintermüller, Michael; Papafitsoros, Kostas
2
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Constrained stochastic LQ control on infinite time horizon with regime switching. Zbl 1482.93703
Hu, Ying; Shi, Xiaomin; Xu, Zuo Quan
2
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Boundary stabilization and disturbance rejection for an unstable time fractional diffusion-wave equation. Zbl 1482.35263
Zhou, Hua-Cheng; Wu, Ze-Hao; Guo, Bao-Zhu; Chen, Yangquan
2
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Formulation and properties of a divergence used to compare probability measures without absolute continuity. Zbl 1478.60008
Dupuis, Paul; Mao, Yixiang
2
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Extended McKean-Vlasov optimal stochastic control applied to smart grid management,. Zbl 1497.93240
Gobet, Emmanuel; Grangereau, Maxime
2
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Optimality conditions, approximate stationarity, and applications – a story beyond Lipschitzness. Zbl 1494.49005
Kruger, Alexander Y.; Mehlitz, Patrick
2
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Null controllability and inverse source problem for stochastic Grushin equation with boundary degeneracy and singularity. Zbl 1497.93026
Yan, Lin; Wu, Bin; Lu, Shiping; Wang, Yuchan
2
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Sensitivity analysis of a Tresca-type problem leads to Signorini’s conditions. Zbl 1490.49032
Adly, Samir; Bourdin, Loïc; Caubet, Fabien
1
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Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization. Zbl 1509.49013
Hoppe, Fabian; Neitzel, Ira
1
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Error estimates for a tree structure algorithm solving finite horizon control problems. Zbl 1503.49025
Saluzzi, Luca; Alla, Alessandro; Falcone, Maurizio
1
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Nonsmooth mean field games with state constraints. Zbl 1505.49028
Arjmand, Saeed Sadeghi; Mazanti, Guilherme
1
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The Sard problem in step 2 and in filiform Carnot groups. Zbl 1515.53026
Boarotto, Francesco; Nalon, Luca; Vittone, Davide
1
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Sub-Riemannian geodesics on \(\mathrm{SL}(2, \mathbb{R} )\). Zbl 1510.53032
D’Alessandro, Domenico; Cho, Gunhee
1
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Second-order analysis of Fokker-Planck ensemble optimal control problems. Zbl 1505.35336
Körner, Jacob; Borzì, Alfio
1
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The calibration method for the thermal insulation functional. Zbl 1496.80003
Labourie, C.; Milakis, E.
1
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Boundary regularity of minimal oriented hypersurfaces on a manifold. Zbl 1496.35135
Steinbrüchel, Simone
1
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The relaxed area of \(\mathbb{S}^1\)-valued singular maps in the strict \(BV\)-convergence. Zbl 1504.49030
Bellettini, Giovanni; Carano, Simone; Scala, Riccardo
1
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Infinite multidimensional scaling for metric measure spaces. Zbl 07574254
Kroshnin, Alexey; Stepanov, Eugene; Trevisan, Dario
1
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A new minimizing-movements scheme for curves of maximal slope. Zbl 07574255
Stefanelli, Ulisse
1
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Controllability of a Stokes system with a diffusive boundary condition. Zbl 1500.76018
Buffe, Rémi; Takahashi, Takéo
1
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Optimal control of hyperbolic type discrete and differential inclusions described by the Laplace operator. Zbl 1501.49004
Mahmudov, Elimhan N.
1
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A rearrangement minimization problem corresponding to p-Laplacian equation. Zbl 1492.35392
Kao, Chiu-Yen; Mohammadi, Seyyed Abbas
1
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A consistent approximation of the total perimeter functional for topology optimization algorithms. Zbl 1485.49050
Amstutz, Samuel; Dapogny, Charles; Ferrer, Alex
1
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Optimal Borel measure controls for the two-dimensional stationary Boussinesq system. Zbl 1485.49011
Peralta, Gilbert
1
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Controllability problems for the heat equation with variable coefficients on a half-axis. Zbl 1503.93012
Fardigola, Larissa; Khalina, Kateryna
1
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Topology optimization for quasistatic elastoplasticity. Zbl 1495.74053
Almi, Stefano; Stefanelli, Ulisse
1
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A consensus-based global optimization method for high dimensional machine learning problems. Zbl 1480.60195
Carrillo, José A.; Jin, Shi; Li, Lei; Zhu, Yuhua
35
2021
Time-inconsistent stochastic optimal control problems and backward stochastic Volterra integral equations. Zbl 1467.93339
Wang, Hanxiao; Yong, Jiongmin
18
2021
Neumann and Robin type boundary conditions in fractional Orlicz-Sobolev spaces. Zbl 1470.35387
Bahrouni, Sabri; Salort, Ariel M.
15
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Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation. Zbl 1511.49021
Kunisch, Karl; Walter, Daniel
10
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Regularity results for a class of obstacle problems with \(p, q\)-growth conditions. Zbl 1468.35068
Caselli, M.; Eleuteri, M.; Di Napoli, A. Passarelli
10
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Long time behavior and turnpike solutions in mildly non-monotone mean field games. Zbl 1471.91028
Cirant, Marco; Porretta, Alessio
10
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Linear hyperbolic systems on networks: well-posedness and qualitative properties. Zbl 1523.47051
Fijavž, Marjeta Kramar; Mugnolo, Delio; Nicaise, Serge
9
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Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances. Zbl 1467.93272
Schmid, Jochen; Zwart, Hans
8
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
8
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
8
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The back-and-forth method for Wasserstein gradient flows. Zbl 1483.65104
Jacobs, Matt; Lee, Wonjun; Léger, Flavien
7
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The turnpike property in semilinear control. Zbl 1473.49044
Pighin, Dario
7
2021
An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model. Zbl 1473.35449
López-Ríos, J.; Villamizar-Roa, Élder J.
7
2021
Approximation of null controls for semilinear heat equations using a least-squares approach. Zbl 1468.35086
Lemoine, Jérôme; Marín-Gayte, Irene; Münch, Arnaud
7
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
7
2021
Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation. Zbl 1468.35048
Christof, Constantin; Müller, Georg
7
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
7
2021
A policy iteration method for mean field games. Zbl 1473.49043
Cacace, Simone; Camilli, Fabio; Goffi, Alessandro
7
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
6
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
6
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.
6
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
6
2021
Infinite horizon backward stochastic Volterra integral equations and discounted control problems. Zbl 1490.60197
Hamaguchi, Yushi
5
2021
Finite state \(N\)-agent and mean field control problems. Zbl 1468.35035
Cecchin, Alekos
5
2021
Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems. Zbl 1481.65218
Oudet, Édouard; Kao, Chiu-Yen; Osting, Braxton
5
2021
Linear-quadratic optimal control for backward stochastic differential equations with random coefficients. Zbl 1467.93337
Sun, Jingrui; Wang, Hanxiao
5
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
5
2021
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Cited by 10,216 Authors

75 Kunisch, Karl
61 Zuazua, Enrique
52 Fernández-Cara, Enrique
48 Neff, Patrizio
47 Stefanelli, Ulisse
47 Trélat, Emmanuel
47 Xu, Gen-Qi
46 Ammari, Kais
45 Casas, Eduardo
38 Coron, Jean-Michel
38 Guo, Bao-Zhu
35 Sachkov, Yuriĭ Leonidovich
34 Attouch, Hedy
33 Kružík, Martin
33 Nicaise, Serge
32 Karafyllis, Iasson
32 Münch, Arnaud
32 Prieur, Christophe
30 Li, Tatsien
30 Rossi, Julio Daniel
29 Gomes, Diogo Luís Aguiar
29 Han, Zhongjie
29 Mahmudov, Elimhan Nadir
29 Pazoto, Ademir Fernando
29 Rosier, Lionel
29 Rossi, Riccarda
29 Takahashi, Takéo
28 Cannarsa, Piermarco
28 Guerrero, Sergio
28 Mielke, Alexander
27 Allaire, Grégoire
27 Chentouf, Boumediène
27 Sira-Ramírez, Hebertt J.
26 Alves, Claudianor Oliveira
26 Tang, Xianhua
26 Teel, Andrew Richard
25 Cardaliaguet, Pierre
25 Cavalcanti, Marcelo Moreira
25 Ervedoza, Sylvain
25 Hassine, Maatoug
25 Hintermüller, Michael
24 Bonnard, Bernard
24 Rao, Bopeng
24 Wehbe, Ali
23 Beauchard, Karine
23 Feng, Baowei
23 Gugat, Martin
23 Pedregal, Pablo
23 Tröltzsch, Fredi
23 Wang, Junmin
22 Ambrosio, Vincenzo
22 Bressan, Alberto
22 Krstić, Miroslav
22 Raymond, Jean-Pierre
22 Zhang, Jian
22 Zidani, Hasnaa
21 de Teresa, Luz
21 Garcke, Harald
21 Gaudiello, Antonio
21 Herty, Michael Matthias
21 Imanuvilov, Oleg Yu.
21 Katzourakis, Nikolaos I.
21 Maniar, Lahcen
21 Tucsnak, Marius
21 Yamamoto, Masahiro
21 Zhang, Bingyu
20 Alabau-Boussouira, Fatiha
20 Ayala, Victor
20 Boccardo, Lucio
20 Grüne, Lars
20 Hinze, Michael
20 Leugering, Günter
20 Rösch, Arnd
20 Zappale, Elvira
19 Boscain, Ugo
19 Domingos Cavalcanti, Valéria Neves
19 Glass, Olivier
19 López-Cerdá, Marco Antonio
19 Messaoudi, Salim A.
19 Rodrigues, Sérgio S.
19 Santambrogio, Filippo
19 Solombrino, Francesco
19 Valdinoci, Enrico
19 Wachsmuth, Daniel
19 Wachsmuth, Gerd
19 Wang, Gengsheng
19 Wu, Zhen
18 Conti, Sergio
18 Fliess, Michel
18 Ignat, Radu
18 Liu, Zhuangyi
18 Micu, Sorin
18 Motta, Monica
18 Orlandi, Giandomenico
18 Otárola, Enrique
18 Piccoli, Benedetto
18 Puel, Jean-Pierre
18 Roubíček, Tomáš
18 Savaré, Giuseppe
18 Šimon Hilscher, Roman
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Cited in 648 Journals

539 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
372 SIAM Journal on Control and Optimization
359 Journal of Differential Equations
321 Journal of Mathematical Analysis and Applications
253 Calculus of Variations and Partial Differential Equations
249 Automatica
227 Systems & Control Letters
226 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
218 Applied Mathematics and Optimization
166 Archive for Rational Mechanics and Analysis
166 Journal of Optimization Theory and Applications
164 Journal de Mathématiques Pures et Appliquées. Neuvième Série
152 International Journal of Control
141 SIAM Journal on Mathematical Analysis
140 Mathematical Control and Related Fields
127 Applicable Analysis
118 Comptes Rendus. Mathématique. Académie des Sciences, Paris
114 Discrete and Continuous Dynamical Systems
112 Journal of Functional Analysis
105 Computer Methods in Applied Mechanics and Engineering
105 Evolution Equations and Control Theory
104 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
102 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
98 NoDEA. Nonlinear Differential Equations and Applications
89 Mathematical Methods in the Applied Sciences
88 Journal of Dynamical and Control Systems
82 ZAMP. Zeitschrift für angewandte Mathematik und Physik
80 Journal of Computational Physics
77 Communications in Partial Differential Equations
77 Communications on Pure and Applied Analysis
77 Discrete and Continuous Dynamical Systems. Series S
74 MCSS. Mathematics of Control, Signals, and Systems
71 Inverse Problems
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69 Computational Optimization and Applications
66 Nonlinear Analysis. Real World Applications
65 Computers & Mathematics with Applications
65 Annali di Matematica Pura ed Applicata. Serie Quarta
61 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
61 Set-Valued and Variational Analysis
57 Optimization
56 Journal of Evolution Equations
55 Applied Mathematics and Computation
54 Mathematical Programming. Series A. Series B
54 Boundary Value Problems
50 Numerische Mathematik
50 Acta Applicandae Mathematicae
50 SIAM Journal on Scientific Computing
49 Journal of the Franklin Institute
49 The Journal of Geometric Analysis
49 International Journal of Robust and Nonlinear Control
48 Journal of Computational and Applied Mathematics
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48 SIAM Journal on Optimization
47 Nonlinearity
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47 Communications in Contemporary Mathematics
45 Asymptotic Analysis
45 Discrete and Continuous Dynamical Systems. Series B
42 Applied Mathematics Letters
42 Complex Variables and Elliptic Equations
41 Transactions of the American Mathematical Society
39 Numerical Functional Analysis and Optimization
39 Journal of Elasticity
39 European Journal of Control
39 Advances in Calculus of Variations
38 Journal of Mathematical Sciences (New York)
38 Journal of Inverse and Ill-Posed Problems
35 SIAM Journal on Numerical Analysis
35 Journal of the European Mathematical Society (JEMS)
34 Networks and Heterogeneous Media
33 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
32 Journal of Dynamics and Differential Equations
32 Journal of Convex Analysis
32 Advances in Nonlinear Analysis
30 Advances in Mathematics
30 Chinese Annals of Mathematics. Series B
30 SIAM Journal on Applied Mathematics
30 Mediterranean Journal of Mathematics
29 Communications in Mathematical Physics
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29 Mathematics and Mechanics of Solids
28 Journal of Mathematical Imaging and Vision
26 Journal of Mathematical Fluid Mechanics
25 Mathematische Annalen
25 Journal of Global Optimization
25 Journal of Systems Science and Complexity
25 Multiscale Modeling & Simulation
24 Differential Equations
24 Inverse Problems and Imaging
23 Potential Analysis
23 Mathematical Problems in Engineering
22 European Journal of Applied Mathematics
22 Applied Mathematical Modelling
22 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
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22 Asian Journal of Control
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21 Communications on Pure and Applied Mathematics
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