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## Gangbo, Wilfrid

Compute Distance To:
 Author ID: gangbo.wilfrid Published as: Gangbo, Wilfrid; Gangbo, W.; Gangbo, Wilfried External Links: MGP · Wikidata · GND
 Documents Indexed: 57 Publications since 1990, including 3 Books
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#### Co-Authors

 6 single-authored 9 Dacorogna, Bernard 7 Tudorascu, Adrian 5 Świȩch, Andrzej 3 Li, Wuchen 3 McCann, Robert J. 2 Brenier, Yann 2 Carlen, Eric Anders 2 Cullen, Mike 2 Evans, Lawrence Craig 2 Fonseca, Irene 2 Kneuss, Olivier 2 Osher, Stanley Joel 2 Westdickenberg, Michael 1 Ambrosio, Luigi 1 Awi, Roméo 1 Banyaga, Augustin 1 Bouchitté, Guy 1 Buttazzo, Giuseppe 1 Cardaliaguet, Pierre 1 Chayes, Lincoln 1 Chipot, Michel 1 Chow, Yat Tin 1 Cordero-Erausquin, Dario 1 Douchet, Jacques 1 Figalli, Alessio 1 Georgy, Nicolas 1 Haskovec, Jan 1 Houdré, Christian 1 Kawohl, Bernd 1 Kim, Hwa Kil 1 Lei, Helen K. 1 Luca, Florian 1 Markowich, Peter Alexander 1 Mayorga, Sergio 1 Mou, Chenchen 1 Neudauer, Nancy Ann 1 Nguyen, Truyen Van 1 Nguyen, Van Truyen 1 Oliker, Vladimir I. 1 Pacini, Tommaso 1 Pisante, Giovanni 1 Puthawala, Michael A. 1 Rappaz, Jacques 1 Ryu, Ernest K. 1 Savaré, Giuseppe 1 Savin, Ovidiu V. 1 Seppecher, Pierre 1 Shubin, Carol Ann 1 Sierra, Jesús 1 Subia, Nelson 1 Van der Putten, Roberto 1 Villani, Cédric 1 Waldschmidt, Michel 1 Yin, Wotao 1 Yolcu, Turkay
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#### Serials

 7 Archive for Rational Mechanics and Analysis 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 3 Communications on Pure and Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Calculus of Variations and Partial Differential Equations 2 Advances in Mathematics 2 Journal of Differential Equations 2 Memoirs of the American Mathematical Society 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Notices of the American Mathematical Society 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Computational Physics 1 Acta Mathematica 1 Quarterly of Applied Mathematics 1 Journal of Scientific Computing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Journal of Mathematical Sciences (New York) 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Sciences 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Analysis and Applications (Singapore) 1 Oxford Lecture Series in Mathematics and its Applications
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#### Fields

 41 Calculus of variations and optimal control; optimization (49-XX) 24 Partial differential equations (35-XX) 10 Mechanics of deformable solids (74-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Measure and integration (28-XX) 5 Functional analysis (46-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 4 Fluid mechanics (76-XX) 3 Real functions (26-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

47 Publications have been cited 1,175 times in 852 Documents Cited by Year
The geometry of optimal transportation. Zbl 0887.49017
Gangbo, Wilfrid; McCann, Robert J.
1996
Differential equations methods for the Monge-Kantorovich mass transfer problem. Zbl 0920.49004
Evans, L. C.; Gangbo, W.
1999
Degree theory in analysis and applications. Zbl 0852.47030
Fonseca, Irene; Gangbo, Wilfrid
1995
Optimal maps for the multidimensional Monge-Kantorovich problem. Zbl 0889.49030
Gangbo, Wilfrid; Świȩch, Andrzej
1998
Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028
Ambrosio, Luigi; Gangbo, Wilfrid
2008
Hamilton-Jacobi equations in the Wasserstein space. Zbl 1171.49308
Gangbo, Wilfrid; Nguyen, Truyen; Tudorascu, Adrian
2008
Optimal maps in Monge’s mass transport problem. Zbl 0858.49002
Gangbo, Wilfried; McCann, Robert J.
1995
Shape recognition via Wasserstein distance. Zbl 1039.49038
Gangbo, Wilfrid; McCann, Robert J.
2000
Inequalities for generalized entropy and optimal transportation. Zbl 1135.49026
Cordero-Erausquin, Dario; Gangbo, Wilfrid; Houdré, Christian
2004
An elementary proof of the polar factorization of vector-valued functions. Zbl 0828.57021
Gangbo, Wilfrid
1994
Constrained steepest descent in the 2-Wasserstein metric. Zbl 1038.49040
Carlen, E. A.; Gangbo, W.
2003
Solution of a model Boltzmann equation via steepest descent in the 2-Wasserstein metric. Zbl 1182.76944
Carlen, E. A.; Gangbo, W.
2004
Euler-Poisson systems as action-minimizing paths in the Wasserstein space. Zbl 1171.76047
Gangbo, W.; Nguyen, Van Truyen; Tudorascu, A.
2009
Existence of a solution to an equation arising from the theory of mean field games. Zbl 1359.35221
Gangbo, Wilfrid; Święch, Andrzej
2015
Diffeomorphisms and nonlinear heat flows. Zbl 1096.35061
Evans, L. C.; Savin, O.; Gangbo, W.
2005
Sticky particle dynamics with interactions. Zbl 1282.35236
Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M.
2013
Optimal transport for the system of isentropic Euler equations. Zbl 1182.35161
Gangbo, Wilfrid; Westdickenberg, Michael
2009
Metric viscosity solutions of Hamilton-Jacobi equations depending on local slopes. Zbl 1355.49024
Gangbo, Wilfrid; Świȩch, Andrzej
2015
On differentiability in the Wasserstein space and well-posedness for Hamilton-Jacobi equations. Zbl 1419.35234
2019
A variational approach for the 2-dimensional semi-geostrophic shallow water equations. Zbl 0985.76008
Cullen, Mike; Gangbo, Wilfrid
2001
Sur une généralisation de l’inégalité de Wirtinger. (A generalization of Wirtinger’s inequality). Zbl 0764.49009
Dacorogna, B.; Gangbo, W.; Subía, N.
1992
Local invertibility of Sobolev functions. Zbl 0839.30018
Fonseca, I.; Gangbo, W.
1995
Optimal transport and large number of particles. Zbl 1277.35129
Gangbo, Wilfrid; Świȩch, Andrzej
2014
Lagrangian dynamics on an infinite-dimensional torus; a weak KAM theorem. Zbl 1186.49031
Gangbo, W.; Tudorascu, A.
2010
A parallel method for Earth mover’s distance. Zbl 1398.65124
Li, Wuchen; Ryu, Ernest K.; Osher, Stanley; Yin, Wotao; Gangbo, Wilfrid
2018
Weak KAM theory on the Wasserstein torus with multidimensional underlying space. Zbl 1321.37074
2014
Some examples of rank one convex functions in dimension two. Zbl 0722.49018
Dacorogna, B.; Douchet, J.; Gangbo, W.; Rappaz, J.
1990
Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems. Zbl 1221.53001
Gangbo, Wilfrid; Kim, Hwa Kil; Pacini, Tommaso
2011
Michell trusses and lines of principal action. Zbl 1151.49019
Bouchitté, Guy; Gangbo, Wilfrid; Seppecher, Pierre
2008
On the weak lower semicontinuity of energies with polyconvex integrands. Zbl 0829.49011
Gangbo, W.
1994
Existence of optimal maps in the reflector-type problems. Zbl 1136.49015
2007
Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021
Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N.
1999
The semigeostrophic equations discretized in reference and dual variables. Zbl 1139.86003
Cullen, Mike; Gangbo, Wilfrid; Pisante, Giovanni
2007
Optimal transport of closed differential forms for convex costs. (Transport optimal des formes fermées pour des coûts convexes.) Zbl 1334.49142
Dacorogna, Bernard; Gangbo, Wilfrid; Kneuss, Olivier
2015
The Monge mass transfer problem and its applications. Zbl 0930.49025
Gangbo, Wilfrid
1999
On the envelopes of functions depending on singular values of matrices. Zbl 0803.49014
Buttazzo, G.; Dacorogna, B.; Gangbo, W.
1994
A weak KAM theorem; from finite to infinite dimension. Zbl 1196.37114
2010
Homogenization for a class of integral functionals in spaces of probability measures. Zbl 1248.35015
2012
On some nonlocal variational problems. Zbl 1115.49007
Chipot, Michel; Gangbo, Wilfrid; Kawohl, Bernd
2006
$$L^p$$ approximation of maps by diffeomorphisms. Zbl 1055.26008
Brenier, Yann; Gangbo, Wilfrid
2003
A variational method for a class of parabolic PDEs. Zbl 1239.35074
Figalli, Alessio; Gangbo, Wilfrid; Yolcu, Turkay
2011
Uniqueness of equilibrium configurations in solid crystals. Zbl 0984.49017
Gangbo, Wilfrid; Van der Putten, Roberto
2000
On the continuity of the polyconvex, quasiconvex and rank-one-convex envelopes with respect to growth condition. Zbl 0818.49012
Gangbo, Wilfrid
1993
A polyconvex integrand; Euler-Lagrange equations and uniqueness of equilibrium. Zbl 1297.35009
Awi, Roméo; Gangbo, Wilfrid
2014
Extension theorems for vector valued maps. Zbl 1101.46016
Dacorogna, Bernard; Gangbo, Wilfrid
2006
A partial Laplacian as an infinitesimal generator on the Wasserstein space. Zbl 1422.60119
Chow, Yat Tin; Gangbo, Wilfrid
2019
Unnormalized optimal transport. Zbl 1453.49016
Gangbo, Wilfrid; Li, Wuchen; Osher, Stanley; Puthawala, Michael
2019
On differentiability in the Wasserstein space and well-posedness for Hamilton-Jacobi equations. Zbl 1419.35234
2019
A partial Laplacian as an infinitesimal generator on the Wasserstein space. Zbl 1422.60119
Chow, Yat Tin; Gangbo, Wilfrid
2019
Unnormalized optimal transport. Zbl 1453.49016
Gangbo, Wilfrid; Li, Wuchen; Osher, Stanley; Puthawala, Michael
2019
A parallel method for Earth mover’s distance. Zbl 1398.65124
Li, Wuchen; Ryu, Ernest K.; Osher, Stanley; Yin, Wotao; Gangbo, Wilfrid
2018
Existence of a solution to an equation arising from the theory of mean field games. Zbl 1359.35221
Gangbo, Wilfrid; Święch, Andrzej
2015
Metric viscosity solutions of Hamilton-Jacobi equations depending on local slopes. Zbl 1355.49024
Gangbo, Wilfrid; Świȩch, Andrzej
2015
Optimal transport of closed differential forms for convex costs. (Transport optimal des formes fermées pour des coûts convexes.) Zbl 1334.49142
Dacorogna, Bernard; Gangbo, Wilfrid; Kneuss, Olivier
2015
Optimal transport and large number of particles. Zbl 1277.35129
Gangbo, Wilfrid; Świȩch, Andrzej
2014
Weak KAM theory on the Wasserstein torus with multidimensional underlying space. Zbl 1321.37074
2014
A polyconvex integrand; Euler-Lagrange equations and uniqueness of equilibrium. Zbl 1297.35009
Awi, Roméo; Gangbo, Wilfrid
2014
Sticky particle dynamics with interactions. Zbl 1282.35236
Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M.
2013
Homogenization for a class of integral functionals in spaces of probability measures. Zbl 1248.35015
2012
Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems. Zbl 1221.53001
Gangbo, Wilfrid; Kim, Hwa Kil; Pacini, Tommaso
2011
A variational method for a class of parabolic PDEs. Zbl 1239.35074
Figalli, Alessio; Gangbo, Wilfrid; Yolcu, Turkay
2011
Lagrangian dynamics on an infinite-dimensional torus; a weak KAM theorem. Zbl 1186.49031
Gangbo, W.; Tudorascu, A.
2010
A weak KAM theorem; from finite to infinite dimension. Zbl 1196.37114
2010
Euler-Poisson systems as action-minimizing paths in the Wasserstein space. Zbl 1171.76047
Gangbo, W.; Nguyen, Van Truyen; Tudorascu, A.
2009
Optimal transport for the system of isentropic Euler equations. Zbl 1182.35161
Gangbo, Wilfrid; Westdickenberg, Michael
2009
Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028
Ambrosio, Luigi; Gangbo, Wilfrid
2008
Hamilton-Jacobi equations in the Wasserstein space. Zbl 1171.49308
Gangbo, Wilfrid; Nguyen, Truyen; Tudorascu, Adrian
2008
Michell trusses and lines of principal action. Zbl 1151.49019
Bouchitté, Guy; Gangbo, Wilfrid; Seppecher, Pierre
2008
Existence of optimal maps in the reflector-type problems. Zbl 1136.49015
2007
The semigeostrophic equations discretized in reference and dual variables. Zbl 1139.86003
Cullen, Mike; Gangbo, Wilfrid; Pisante, Giovanni
2007
On some nonlocal variational problems. Zbl 1115.49007
Chipot, Michel; Gangbo, Wilfrid; Kawohl, Bernd
2006
Extension theorems for vector valued maps. Zbl 1101.46016
Dacorogna, Bernard; Gangbo, Wilfrid
2006
Diffeomorphisms and nonlinear heat flows. Zbl 1096.35061
Evans, L. C.; Savin, O.; Gangbo, W.
2005
Inequalities for generalized entropy and optimal transportation. Zbl 1135.49026
Cordero-Erausquin, Dario; Gangbo, Wilfrid; Houdré, Christian
2004
Solution of a model Boltzmann equation via steepest descent in the 2-Wasserstein metric. Zbl 1182.76944
Carlen, E. A.; Gangbo, W.
2004
Constrained steepest descent in the 2-Wasserstein metric. Zbl 1038.49040
Carlen, E. A.; Gangbo, W.
2003
$$L^p$$ approximation of maps by diffeomorphisms. Zbl 1055.26008
Brenier, Yann; Gangbo, Wilfrid
2003
A variational approach for the 2-dimensional semi-geostrophic shallow water equations. Zbl 0985.76008
Cullen, Mike; Gangbo, Wilfrid
2001
Shape recognition via Wasserstein distance. Zbl 1039.49038
Gangbo, Wilfrid; McCann, Robert J.
2000
Uniqueness of equilibrium configurations in solid crystals. Zbl 0984.49017
Gangbo, Wilfrid; Van der Putten, Roberto
2000
Differential equations methods for the Monge-Kantorovich mass transfer problem. Zbl 0920.49004
Evans, L. C.; Gangbo, W.
1999
Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021
Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N.
1999
The Monge mass transfer problem and its applications. Zbl 0930.49025
Gangbo, Wilfrid
1999
Optimal maps for the multidimensional Monge-Kantorovich problem. Zbl 0889.49030
Gangbo, Wilfrid; Świȩch, Andrzej
1998
The geometry of optimal transportation. Zbl 0887.49017
Gangbo, Wilfrid; McCann, Robert J.
1996
Degree theory in analysis and applications. Zbl 0852.47030
Fonseca, Irene; Gangbo, Wilfrid
1995
Optimal maps in Monge’s mass transport problem. Zbl 0858.49002
Gangbo, Wilfried; McCann, Robert J.
1995
Local invertibility of Sobolev functions. Zbl 0839.30018
Fonseca, I.; Gangbo, W.
1995
An elementary proof of the polar factorization of vector-valued functions. Zbl 0828.57021
Gangbo, Wilfrid
1994
On the weak lower semicontinuity of energies with polyconvex integrands. Zbl 0829.49011
Gangbo, W.
1994
On the envelopes of functions depending on singular values of matrices. Zbl 0803.49014
Buttazzo, G.; Dacorogna, B.; Gangbo, W.
1994
On the continuity of the polyconvex, quasiconvex and rank-one-convex envelopes with respect to growth condition. Zbl 0818.49012
Gangbo, Wilfrid
1993
Sur une généralisation de l’inégalité de Wirtinger. (A generalization of Wirtinger’s inequality). Zbl 0764.49009
Dacorogna, B.; Gangbo, W.; Subía, N.
1992
Some examples of rank one convex functions in dimension two. Zbl 0722.49018
Dacorogna, B.; Douchet, J.; Gangbo, W.; Rappaz, J.
1990
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#### Cited by 988 Authors

 26 Gangbo, Wilfrid 20 McCann, Robert J. 20 Rossi, Julio Daniel 15 Dacorogna, Bernard 15 Li, Wuchen 13 Ghoussoub, Nassif A. 13 Tudorascu, Adrian 12 Ambrosio, Luigi 12 Carrillo de la Plata, José Antonio 12 Kim, Young-Heon 11 Carlier, Guillaume 11 De Pascale, Luigi 11 Santambrogio, Filippo 10 Hencl, Stanislav 10 Pass, Brendan 10 Rossi, Francesco 9 Beiglböck, Mathias 9 Cardaliaguet, Pierre 9 Chen, Yongxin 9 Feldman, Mikhail 9 Figalli, Alessio 8 Brenier, Yann 8 Friesecke, Gero 8 Malý, Jan 8 Mazón Ruiz, José M. 8 Moameni, Abbas 8 Moroşanu, Costică 8 Osher, Stanley Joel 8 Westdickenberg, Michael 7 Agueh, Martial 7 Bouchitté, Guy 7 Fonseca, Irene 7 Georgiou, Tryphon T. 7 Igbida, Noureddine 7 Piccoli, Benedetto 7 Pratelli, Aldo 7 Savaré, Giuseppe 7 Wolansky, Gershon 6 Champion, Thierry 6 Dweik, Samer 6 Granieri, Luca 6 Müller, Stefan 6 Palmer, Aaron Zeff 6 Villani, Cédric 6 Wang, Xu-Jia 5 Bertrand, Jérôme 5 Bessi, Ugo 5 Bevan, Jonathan J. 5 Gentil, Ivan 5 Jimenez, Chloé 5 Kitagawa, Jun 5 Kolesnikov, Alexander V. 5 Marcellini, Paolo 5 Marigonda, Antonio 5 Matthes, Daniel 5 Nguyen, Truyen Van 5 Olbermann, Heiner 5 Pavon, Michele 5 Peletier, Mark Adriaan 5 Świȩch, Andrzej 4 Benamou, Jean-David 4 Blanchet, Adrien 4 Caffarelli, Luis Ángel 4 Cavalletti, Fabio 4 Crasta, Graziano 4 Croce, Gisella 4 Di Marino, Simone 4 Feng, Jin 4 Fragalà, Ilaria 4 Gigli, Nicola 4 Glimm, James G. 4 Gozlan, Nathael 4 Heinich, Henri 4 Henao, Duvan A. 4 Huesmann, Martin 4 Hynd, Ryan 4 Jacobs, Matthew 4 Kim, Hwa Kil 4 Kneuss, Olivier 4 Liu, Jiakun 4 Loeper, Grégoire 4 Manfredi, Juan J. 4 Mérigot, Quentin 4 Pedregal, Pablo 4 Pham, Huyên 4 Pisante, Giovanni 4 Puel, Marjolaine 4 Takatsu, Asuka 4 Wong, Mu Ming 4 Xia, Qinglan 4 Yan, Baisheng 4 Yin, Wotao 3 Averboukh, Yuriĭ Vladimirovich 3 Bonnet, Benoît 3 Brasco, Lorenzo 3 Buffoni, Boris 3 Cavagnari, Giulia 3 Chen, Gui-Qiang G. 3 Chow, Shui-Nee 3 Chow, Yat Tin ...and 888 more Authors
all top 5

#### Cited in 198 Serials

 58 Calculus of Variations and Partial Differential Equations 53 Archive for Rational Mechanics and Analysis 38 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 30 SIAM Journal on Mathematical Analysis 26 Journal of Mathematical Analysis and Applications 25 Journal of Differential Equations 25 Journal of Functional Analysis 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Discrete and Continuous Dynamical Systems 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Advances in Mathematics 14 Transactions of the American Mathematical Society 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Journal of Optimization Theory and Applications 11 Communications in Partial Differential Equations 10 Communications in Mathematical Physics 10 Proceedings of the American Mathematical Society 10 Journal of Scientific Computing 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 SIAM Journal on Scientific Computing 9 Journal of Mathematical Sciences (New York) 8 Journal of Computational Physics 8 The Annals of Probability 8 SIAM Journal on Control and Optimization 8 Probability Theory and Related Fields 8 Advances in Calculus of Variations 7 Communications on Pure and Applied Mathematics 7 Journal of Statistical Physics 7 Applied Mathematics and Optimization 7 NoDEA. Nonlinear Differential Equations and Applications 6 Physica D 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Stochastic Processes and their Applications 5 Journal of Mathematical Physics 5 SIAM Journal on Numerical Analysis 5 Acta Applicandae Mathematicae 5 European Journal of Applied Mathematics 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Economic Theory 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Applied Mathematics and Computation 4 Journal of Multivariate Analysis 4 Mathematische Zeitschrift 4 Journal of Global Optimization 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Potential Analysis 4 Bulletin des Sciences Mathématiques 4 Journal of the European Mathematical Society (JEMS) 4 Discrete and Continuous Dynamical Systems. Series S 4 Kinetic and Related Models 3 Journal d’Analyse Mathématique 3 Mathematical Notes 3 Nonlinearity 3 Mathematics of Computation 3 Acta Mathematica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Duke Mathematical Journal 3 Journal of Computational and Applied Mathematics 3 Journal of Economic Theory 3 Manuscripta Mathematica 3 Mathematische Annalen 3 Memoirs of the American Mathematical Society 3 Quarterly of Applied Mathematics 3 Rendiconti del Seminario Matematico della Università di Padova 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Elasticity 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Optimization 3 Journal of Mathematical Imaging and Vision 3 Journal of Nonlinear Science 3 Bernoulli 3 Revista Matemática Complutense 3 Communications in Contemporary Mathematics 3 Nonlinear Analysis. Real World Applications 3 Journal of Evolution Equations 3 Foundations of Computational Mathematics 3 Communications on Pure and Applied Analysis 3 Analysis and Applications (Singapore) 3 Boundary Value Problems 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 SIAM Journal on Imaging Sciences 3 Analysis & PDE 3 Bulletin of Mathematical Sciences 3 Information Geometry 2 Computer Methods in Applied Mechanics and Engineering 2 Inverse Problems 2 Israel Journal of Mathematics 2 Mathematical Methods in the Applied Sciences 2 Automatica 2 Inventiones Mathematicae 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Statistics & Probability Letters 2 Revista Matemática Iberoamericana 2 Applied Mathematics Letters 2 The Annals of Applied Probability 2 Computational Geometry 2 The Journal of Geometric Analysis 2 Geometric and Functional Analysis. GAFA ...and 98 more Serials
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#### Cited in 48 Fields

 418 Calculus of variations and optimal control; optimization (49-XX) 376 Partial differential equations (35-XX) 113 Probability theory and stochastic processes (60-XX) 85 Numerical analysis (65-XX) 70 Mechanics of deformable solids (74-XX) 69 Operations research, mathematical programming (90-XX) 62 Global analysis, analysis on manifolds (58-XX) 54 Differential geometry (53-XX) 54 Fluid mechanics (76-XX) 51 Real functions (26-XX) 50 Functional analysis (46-XX) 49 Measure and integration (28-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 44 Statistical mechanics, structure of matter (82-XX) 42 Dynamical systems and ergodic theory (37-XX) 41 Operator theory (47-XX) 34 Systems theory; control (93-XX) 22 Ordinary differential equations (34-XX) 19 Statistics (62-XX) 16 Computer science (68-XX) 16 Mechanics of particles and systems (70-XX) 16 Information and communication theory, circuits (94-XX) 15 Convex and discrete geometry (52-XX) 14 Functions of a complex variable (30-XX) 14 Biology and other natural sciences (92-XX) 13 Quantum theory (81-XX) 11 Geophysics (86-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Combinatorics (05-XX) 9 Integral equations (45-XX) 7 General topology (54-XX) 7 Optics, electromagnetic theory (78-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Manifolds and cell complexes (57-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

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