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## Lions, Pierre-Louis

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 Author ID: lions.pierre-louis Published as: Lions, P. L.; Lions, P.-L.; Lions, Pierre Louis; Lions, Pierre-Louis Homepage: https://www.college-de-france.fr/site/pierre-louis-lions/ External Links: MGP · Wikidata · dblp · GND · MacTutor Awards: Fields Medal (1994)
 Documents Indexed: 378 Publications since 1977, including 12 Books Reviewing Activity: 1 Review Biographic References: 4 Publications
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#### Co-Authors

 117 single-authored 34 Souganidis, Panagiotis E. 28 Lasry, Jean-Michel 27 Le Bris, Claude 22 Crandall, Michael G. 15 Blanc, Xavier 14 Perthame, Benoît 12 Berestycki, Henri 12 Catto, Isabelle 11 DiPerna, Ronald J. 10 Alvino, Angelo 10 Masmoudi, Nader 10 Trombetti, Guido 6 Esteban, Maria J. 6 Morel, Jean-Michel 5 Bahri, Abbas 5 Ishii, Hitoshi 4 Arisawa, Mariko 4 Barles, Guy 4 Brézis, Haïm 4 Cardaliaguet, Pierre 4 Evans, Lawrence Craig 4 Guichard, Frédéric 4 Menaldi, Jose-Luis 4 Meyer, Yves F. 3 Achdou, Yves 3 Alvarez, Luis H. R. 3 Coifman, Ronald Raphaël 3 Guedes de Figueiredo, Djairo 3 Diaz Diaz, Jesus Ildefonso 3 Fournié, Eric 3 Musiela, Marek 3 Quarteroni, Alfio M. 3 Semmes, Stephen W. 3 Tadmor, Eitan 3 Trudinger, Neil Sidney 2 Bertucci, Charles 2 Caglioti, Emanuele 2 Capuzzo Dolcetta, Italo 2 Cazenave, Thierry 2 Gassiat, Paul 2 Gogny, D. 2 Marchioro, Carlo 2 Mercier, Bertrand 2 Moll, Benjamin 2 Nussbaum, Roger David 2 Pacella, Filomena 2 Porretta, Alessio 2 Pulvirenti, Mario 2 Sznitman, Alain-Sol 2 Toscani, Giuseppe 2 Urbas, John Ivan Eugene 1 Alvarez, Luis F. 1 Alvarez, Luis Marco Cáceres 1 Alvarez, Orlando 1 Alziary, Bénédicte 1 Bensoussan, Alain 1 Buera, Francisco J. 1 Cancès, Eric 1 Catté, Francine 1 Chambolle, Antonin 1 Chan, Tony Fan-Cheong 1 Coll, Tomeu 1 Coron, Jean-Michel 1 Coti Zelati, Vittorio 1 Da Lio, Francesca 1 Darves-Bornoz, J. M. 1 Delarue, François 1 Desjardins, Benoît 1 Duffie, James Darrell 1 Ekeland, Ivar 1 Ferone, Vincenzo 1 Fleming, Wendell Helms 1 Friedman, Avner 1 Friz, Peter Karl 1 Fusco, Nicola 1 Gabaix, Xavier 1 Gallagher, Isabelle 1 Gallay, Thierry 1 Gess, Benjamin 1 Gimbert, Florent 1 Gimbert, P. 1 Giraud, Pierre-Noel 1 Golse, François 1 Grenier, Emmanuel 1 Guéant, Olivier 1 Hauray, Maxime 1 Hou, Thomas Yizhao 1 Jensen, Robert E. 1 Jensen, Ronald Björn 1 Kocan, Maciej 1 Kutev, Nikolai D. 1 Lachapelle, Aime 1 Larrouturou, Bernard 1 Laurière, Mathieu 1 Lebuchous, Jérôme 1 Lebuchoux, Jérôme 1 Lehalle, Charles-Albert 1 Majda, Andrew J. 1 Mas-Gallic, Sylvie 1 Matarasso, Silvano ...and 17 more Co-Authors
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#### Serials

 37 Comptes Rendus de l’Académie des Sciences. Série I 17 Communications in Partial Differential Equations 17 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 11 Archive for Rational Mechanics and Analysis 11 Journal of Functional Analysis 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Communications on Pure and Applied Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications 7 Communications in Mathematical Physics 6 SIAM Journal on Control and Optimization 5 Indiana University Mathematics Journal 5 Proceedings of the American Mathematical Society 5 Ricerche di Matematica 5 Revista Matemática Iberoamericana 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 3 Israel Journal of Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Differential Equations 3 Transactions of the American Mathematical Society 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Differential and Integral Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Computing and Visualization in Science 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Applicable Analysis 2 Journal d’Analyse Mathématique 2 Stochastics 2 Acta Mathematica 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Optimization 2 Inventiones Mathematicae 2 Journal of Mathematics of Kyoto University 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 Bulletin of the American Mathematical Society. New Series 2 Finance and Stochastics 2 Bollettino della Unione Matematica Italiana. Series V. A 2 Oxford Lecture Series in Mathematics and its Applications 2 Networks and Heterogeneous Media 1 Computer Methods in Applied Mechanics and Engineering 1 Nonlinearity 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Boletim da Sociedade Brasileira de Matemática 1 Calcolo 1 Commentationes Mathematicae Universitatis Carolinae 1 Duke Mathematical Journal 1 Econometrica 1 Gazette des Mathématiciens 1 Illinois Journal of Mathematics 1 Journal of Mathematical Economics 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the Japan Academy. Series A 1 RAIRO. Analyse Numérique 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Rendiconti del Seminario Matematico 1 Delft Progress Report 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Physica D 1 Probability Theory and Related Fields 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 SIAM Review 1 Philosophical Transactions of the Royal Society of London. Series A 1 Séminaire Équations aux Dérivées Partielles 1 Electronic Journal of Differential Equations (EJDE) 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Studies 1 Communications in Applied Analysis 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Milan Journal of Mathematics 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Annals of Mathematics Studies 1 The IMA Volumes in Mathematics and its Applications 1 Lecture Notes in Mathematics 1 Mathematics and Financial Economics 1 Japanese Journal of Mathematics. 3rd Series 1 Research in the Mathematical Sciences 1 Séminaire Laurent Schwartz. EDP et Applications 1 De Gruyter Series in Applied and Numerical Mathematics 1 Oxford Mathematical Monographs
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#### Fields

 268 Partial differential equations (35-XX) 94 Calculus of variations and optimal control; optimization (49-XX) 62 Fluid mechanics (76-XX) 49 Probability theory and stochastic processes (60-XX) 39 Systems theory; control (93-XX) 33 Statistical mechanics, structure of matter (82-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Functional analysis (46-XX) 25 Operator theory (47-XX) 24 Quantum theory (81-XX) 23 Numerical analysis (65-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Ordinary differential equations (34-XX) 10 Mechanics of particles and systems (70-XX) 9 Computer science (68-XX) 7 General and overarching topics; collections (00-XX) 7 Integral equations (45-XX) 7 Mechanics of deformable solids (74-XX) 7 Operations research, mathematical programming (90-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Astronomy and astrophysics (85-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

346 Publications have been cited 22,622 times in 14,472 Documents Cited by Year
User’s guide to viscosity solutions of second order partial differential equations. Zbl 0755.35015
Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis
1992
Nonlinear scalar field equations. I: Existence of a ground state. Zbl 0533.35029
Berestycki, Henri; Lions, Pierre-Louis
1983
The concentration-compactness principle in the calculus of variations. The locally compact case. I. Zbl 0541.49009
Lions, Pierre-Louis
1984
Viscosity solutions of Hamilton-Jacobi equations. Zbl 0599.35024
Crandall, Michael G.; Lions, Pierre-Louis
1983
The concentration-compactness principle in the calculus of variations. The limit case. I. Zbl 0704.49005
Lions, P.-L.
1985
Ordinary differential equations, transport theory and Sobolev spaces. Zbl 0696.34049
DiPerna, R. J.; Lions, P. L.
1989
The concentration-compactness principle in the calculus of variations. The locally compact case. II. Zbl 0704.49004
Lions, P.-L.
1984
Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050
Lions, Pierre-Louis; Mercier, B.
1979
Mean field games. Zbl 1156.91321
Lasry, Jean-Michel; Lions, Pierre-Louis
2007
Mathematical topics in fluid mechanics. Vol. 1: Incompressible models. Zbl 0866.76002
Lions, Pierre-Louis
1996
On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Zbl 0698.45010
DiPerna, R. J.; Lions, P. L.
1989
Mathematical topics in fluid mechanics. Vol. 2: Compressible models. Zbl 0908.76004
Lions, Pierre-Louis
1998
The concentration-compactness principle in the calculus of variations. The limit case. II. Zbl 0704.49006
Lions, P.-L.
1985
Generalized solutions of Hamilton-Jacobi equations. Zbl 0497.35001
Lions, Pierre-Louis
1982
Orbital stability of standing waves for some nonlinear Schrödinger equations. Zbl 0513.35007
Cazenave, T.; Lions, Pierre-Louis
1982
Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011
Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis
1984
Image recovery via total variation minimization and related problems. Zbl 0874.68299
Chambolle, Antonin; Lions, Pierre-Louis
1997
Compensated compactness and Hardy spaces. Zbl 0864.42009
Coifman, R.; Lions, P. L.; Meyer, Y.; Semmes, S.
1993
On the existence of positive solutions of semilinear elliptic equations. Zbl 0511.35033
Lions, Pierre-Louis
1982
Stochastic differential equations with reflecting boundary conditions. Zbl 0598.60060
Lions, Pierre-Louis; Sznitman, A. S.
1984
Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046
Berestycki, Henri; Lions, Pierre-Louis
1983
Mean field games. I: The stationary case. Zbl 1153.91009
Lasry, Jean-Michel; Lions, Pierre-Louis
2006
Viscosity solutions of fully nonlinear second-order elliptic partial differential equations. Zbl 0708.35031
Ishii, H.; Lions, P. L.
1990
Mean field games. II: Finite horizon and optimal control. Zbl 1153.91010
Lasry, Jean-Michel; Lions, Pierre-Louis
2006
The Choquard equation and related questions. Zbl 0453.47042
Lions, Pierre-Louis
1980
Solutions of Hartree-Fock equations for Coulomb systems. Zbl 0618.35111
Lions, P. L.
1987
Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system. Zbl 0741.35061
Lions, P. L.; Perthame, B.
1991
A priori estimates and existence of positive solutions of semilinear elliptic equations. Zbl 0452.35030
de Figueiredo, D. G.; Lions, Pierre-Louis; Nussbaum, R. D.
1982
Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091
Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu
1992
Regularity of the moments of the solution of a transport equation. Zbl 0652.47031
Golse, François; Lions, Pierre-Louis; Perthame, Benoît; Sentis, Rémi
1988
A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. Zbl 0745.76001
Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M.
1992
On Wigner measures. Zbl 0801.35117
Lions, Pierre Louis; Paul, Thierry
1993
Symétrie et compacité dans les espaces de Sobolev. Zbl 0501.46032
Lions, Pierre-Louis
1982
Approximation de points fixes de contractions. Zbl 0349.47046
Lions, Pierre-Louis
1977
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness. Zbl 0716.49023
Lions, P.-L.
1983
A kinetic formulation of multidimensional scalar conservation laws and related equations. Zbl 0820.35094
Lions, P. L.; Perthame, B.; Tadmor, E.
1994
Incompressible limit for a viscous compressible fluid. Zbl 0909.35101
Lions, P.-L.; Masmoudi, N.
1998
Global weak solutions of Vlasov-Maxwell systems. Zbl 0698.35128
DiPerna, R. J.; Lions, P. L.
1989
Image selective smoothing and edge detection by nonlinear diffusion. II. Zbl 0766.65117
Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel
1992
Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076
Crandall, M. G.; Lions, Pierre-Louis
1984
On the existence of a positive solution of semilinear elliptic equations in unbounded domains. Zbl 0883.35045
Bahri, Abbas; Lions, Pierre-Louis
1997
On the Schwarz alternating method. I. Zbl 0658.65090
Lions, P. L.
1988
Existence and non-existence results for semilinear elliptic problems in unbounded domains. Zbl 0506.35035
Esteban, M. J.; Lions, Pierre-Louis
1982
Kinetic formulation of the isentropic gas dynamics and $$p$$-systems. Zbl 0799.35151
Lions, P. L.; Perthame, B.; Tadmor, E.
1994
Applications of Malliavin calculus to Monte Carlo methods in finance. Zbl 0947.60066
Fournié, Eric; Lasry, Jean-Michel; Lebuchous, Jérôme; Lions, Pierre-Louis
1999
Produits infinis de resolvantes. Zbl 0387.47038
Brézis, Haïm; Lions, Pierre-Louis
1978
Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates. Zbl 0853.76077
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
1996
Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem. Zbl 0688.49026
Lasry, J. M.; Lions, P. L.
1989
Axioms and fundamental equations of image processing. Zbl 0788.68153
Alvarez, Luis; Guichard, Frédéric; Lions, Pierre-Louis; Morel, Jean- Michel
1993
A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II. Zbl 0840.76002
Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M.
1995
An ODE approach to the existence of positive solutions for semilinear problems in $$R^ n$$. Zbl 0522.35036
Berestycki, Henri; Lions, Pierre-Louis; Peletier, L. A.
1981
Global solutions for some Oldroyd models of non-Newtonian flows. Zbl 0957.35109
Lions, P. L.; Masmoudi, N.
2000
Asymptotic behavior of some nonlinear heat equations. Zbl 1194.35459
Lions, P. L.
1982
From molecular models to continuum mechanics. Zbl 1028.74005
Blanc, X.; Le Bris, C.; Lions, P.-L.
2002
Morse index of some min-max critical points. I: Application to multiplicity results. Zbl 0645.58013
Bahri, A.; Lions, P. L.
1988
On optimization problems with prescribed rearrangements. Zbl 0678.49003
Alvino, Angelo; Trombetti, Guido; Lions, Pierre-Louis
1989
A remark on regularization in Hilbert spaces. Zbl 0631.49018
Lasry, J. M.; Lions, P. L.
1986
Hamilton-Jacobi equations with state constraints. Zbl 0702.49019
Capuzzo-Dolcetta, I.; Lions, Pierre-Louis
1990
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301
Le Bris, C.; Lions, P.-L.
2008
Solutions of superlinear elliptic equations and their Morse indices. Zbl 0801.35026
Bahri, A.; Lions, P. L.
1992
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. I: The dynamic programming principle and applications. Zbl 0716.49022
Lions, P.-L.
1983
From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II. Zbl 0987.76088
Lions, P.-L.; Masmoudi, N.
2001
$$L^ p$$ regularity of velocity averages. Zbl 0763.35014
DiPerna, R. J.; Lions, P. L.; Meyer, Y.
1991
On the Schwarz alternating method. III: A variant for nonoverlapping subdomains. Zbl 0704.65090
Lions, P. L.
1990
Compactness in Boltzmann’s equation via Fourier integral operators and applications. I, II. Zbl 0831.35139
Lions, P. L.
1994
Résolution de problèmes elliptiques quasilineaires. Zbl 0449.35036
Lions, Pierre-Louis
1980
Convex viscosity solutions and state constraints. Zbl 0890.49013
Alvarez, O.; Lasry, J.-M.; Lions, P.-L.
1997
Convex symmetrization and applications. Zbl 0877.35040
Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido; Lions, Pierre-Louis
1997
Multi-dimensional travelling-wave solutions of a flame propagation model. Zbl 0711.35066
Berestycki, H.; Larrouturou, B.; Lions, P. L.
1990
Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions. Zbl 0992.35067
Desjardins, B.; Grenier, E.; Lions, P.-L.; Masmoudi, N.
1999
Solutions globales d’équations de la chaleur semi linéaires. (Global solutions of semi-linear heat equations). Zbl 0555.35067
Cazenave, Thierry; Lions, Pierre-Louis
1984
Neumann type boundary conditions for Hamilton-Jacobi equations. Zbl 0599.35025
Lions, Pierre-Louis
1985
Applications of Malliavin calculus to Monte-Carlo methods in finance. II. Zbl 0973.60061
Fournié, Eric; Lasry, Jean-Michel; Lebuchoux, Jérôme; Lions, Pierre-Louis
2001
Isolated singularities in semilinear problems. Zbl 0458.35033
Lions, Pierre-Louis
1980
Mean field games and applications. Zbl 1205.91027
Guéant, Olivier; Lasry, Jean-Michel; Lions, Pierre-Louis
2011
On the Fokker-Planck-Boltzmann equation. Zbl 0671.35068
DiPerna, R. J.; Lions, P. L.
1988
Comparison results for elliptic and parabolic equations via Schwarz symmetrization. Zbl 0703.35007
Alvino, Angelo; Trombetti, Guido; Lions, Pierre-Louis
1990
Diffusive limit for finite velocity Boltzmann kinetic models. Zbl 0896.35109
Lions, Pierre Louis; Toscani, Giuseppe
1997
Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions. Zbl 0627.49013
Crandall, Michael G.; Lions, Pierre-Louis
1985
Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Zbl 1050.35012
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2003
Fully nonlinear stochastic partial differential equations. Zbl 1002.60552
Lions, Pierre-Louis; Souganidis, Panagiotis E.
1998
Long time average of mean field games. Zbl 1270.35098
Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio
2012
Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203
Lions, Pierre-Louis; Souganidis, Panagiotis E.
1998
Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2005
Sobolev imbedding theorems in borderline cases. Zbl 0841.46023
Fusco, Nicola; Lions, Pierre Louis; Sbordone, Carlo
1996
Differential games, optimal control and directional derivatives of viscosity solutions of Bellman’s and Isaacs’ equations. Zbl 0569.49019
Lions, Pierre-Louis; Souganidis, P. E.
1985
Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. I: The case of bounded stochastic evolutions. Zbl 0757.93082
Lions, P. L.
1988
Renormalized solutions of some transport equations with partially $$W^{1,1}$$ velocities and applications. Zbl 1170.35364
Le Bris, C.; Lions, P.-L.
2004
A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations. Zbl 0662.35048
Jensen, R.; Lions, P.-L.; Souganidis, P. E.
1988
On existence and uniqueness of solutions of Hamilton-Jacobi equations. Zbl 0603.35016
Crandall, Michael G.; Lions, Pierre-Louis
1986
From atoms to crystals: a mathematical journey. Zbl 1136.81371
Le Bris, Claude; Lions, Pierre-Louis
2005
On ergodic stochastic control. Zbl 1126.93434
Arisawa, M.; Lions, P.-L.
1998
Long time average of mean field games with a nonlocal coupling. Zbl 1332.35364
Cardaliaguet, P.; Lasry, J.-M.; Lions, P.-L.; Porretta, A.
2013
On Boltzmann and Landau equations. Zbl 0809.35137
Lions, P. L.
1994
The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027
Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E.
1986
Quelques remarques sur les problèmes elliptiques quasilinéaires du second ordre. (Some remarks on second order quasilinear elliptic problems). Zbl 0614.35034
Lions, P. L.
1985
Two remarks on Monge-Ampère equations. Zbl 0594.35023
Lions, Pierre-Louis
1985
Best constants in Sobolev inequalities for functions vanishing on some part of the boundary and related questions. Zbl 0631.46033
Lions, P. L.; Pacella, F.; Tricarico, M.
1988
The master equation and the convergence problem in mean field games. Zbl 1430.91002
Cardaliaguet, Pierre; Delarue, François; Lasry, Jean-Michel; Lions, Pierre-Louis
2019
Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. III: Uniqueness of viscosity solutions for general second-order equations. Zbl 0757.93084
Lions, P. L.
1989
Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians. Zbl 1434.60155
Gassiat, Paul; Gess, Benjamin; Lions, Pierre-Louis; Souganidis, Panagiotis E.
2020
The master equation and the convergence problem in mean field games. Zbl 1430.91002
Cardaliaguet, Pierre; Delarue, François; Lasry, Jean-Michel; Lions, Pierre-Louis
2019
Some remarks on mean field games. Zbl 1411.91100
Bertucci, Charles; Lasry, Jean-Michel; Lions, Pierre-Louis
2019
Parabolic equations with irregular data and related issues. Applications to stochastic differential equations. Zbl 07046231
Le Bris, Claude; Lions, Pierre-Louis
2019
On correctors for linear elliptic homogenization in the presence of local defects: the case of advection-diffusion. Zbl 1416.35092
Blanc, X.; Le Bris, Claude; Lions, P.-L.
2019
Mean-field games with a major player. Zbl 1410.91048
Lasry, Jean-Michel; Lions, Pierre-Louis
2018
On correctors for linear elliptic homogenization in the presence of local defects. Zbl 1423.35092
Blanc, X.; Le Bris, C.; Lions, P.-L.
2018
Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2017
Eikonal equations and pathwise solutions to fully non-linear SPDEs. Zbl 1377.35293
Friz, Peter K.; Gassiat, Paul; Lions, Pierre-Louis; Souganidis, Panagiotis E.
2017
Viscosity solutions for junctions: well posedness and stability. Zbl 1353.35111
Lions, Pierre-Louis; Souganidis, Panagiotis
2016
Efficiency of the price formation process in presence of high frequency participants: a mean field game analysis. Zbl 1404.91245
Lachapelle, Aimé; Lasry, Jean-Michel; Lehalle, Charles-Albert; Lions, Pierre-Louis
2016
The dynamics of inequality. Zbl 1420.91061
Gabaix, Xavier; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin
2016
A long-term mathematical model for mining industries. Zbl 1411.91428
Achdou, Yves; Giraud, Pierre-Noel; Lasry, Jean-Michel; Lions, Pierre-Louis
2016
Local profiles for elliptic problems at different scales: defects in, and interfaces between periodic structures. Zbl 1333.35003
Blanc, X.; Le Bris, C.; Lions, P.-L.
2015
Local profiles and elliptic problems at different scales with defects. Zbl 1312.35054
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2015
Partial differential equation models in macroeconomics. Zbl 1353.91027
Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin
2014
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
2014
Long time average of mean field games with a nonlocal coupling. Zbl 1332.35364
Cardaliaguet, P.; Lasry, J.-M.; Lions, P.-L.; Porretta, A.
2013
Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
2013
Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
2013
Mathematical topics in fluid mechanics. Vol. 2: Compressible models. Reprint of the 1998 hardback ed. Zbl 1264.76003
Lions, Pierre-Louis
2013
Long time average of mean field games. Zbl 1270.35098
Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio
2012
A possible homogenization approach for the numerical simulation of periodic microstructures with defects. Zbl 1255.74051
Blanc, X.; Le Bris, C.; Lions, P.-L.
2012
From the Newton equation to the wave equation in some simple cases. Zbl 1259.35163
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2012
Mean field games and applications. Zbl 1205.91027
Guéant, Olivier; Lasry, Jean-Michel; Lions, Pierre-Louis
2011
Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2010
A discussion about the homogenization of moving interfaces. Zbl 1180.35070
Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E.
2009
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301
Le Bris, C.; Lions, P.-L.
2008
Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions. Zbl 1173.35013
Barles, G.; da Lio, F.; Lions, P.-L.; Souganidis, P. E.
2008
Molecular simulation and related topics: some open mathematical problems. Zbl 1158.35100
Cancès, Eric; Le Bris, C.; Lions, P.-L.
2008
Mean field games. Zbl 1156.91321
Lasry, Jean-Michel; Lions, Pierre-Louis
2007
Correlations and bounds for stochastic volatility models. Zbl 1108.62110
Lions, P.-L.; Musiela, M.
2007
Global existence of weak solutions to some micro-macro models. Zbl 1117.35312
2007
The energy of some microscopic stochastic lattices. Zbl 1173.82308
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2007
Stochastic homogenization and random lattices. Zbl 1129.60055
Blanc, X.; Le Bris, C.; Lions, P.-L.
2007
Atomistic to continuum limits for computational materials science. Zbl 1144.82018
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2007
Large investor trading impacts on volatility. Zbl 1160.91016
Lions, Pierre-Louis; Lasry, Jean-Michel
2007
Two remarks on generalized flows for ordinary differential equations. Zbl 1132.34043
Hauray, Maxime; Le Bris, Claude; Lions, Pierre-Louis
2007
Instantaneous self-fulfilling of long-term prophecies on the probabilistic distribution of financial asset values. Zbl 1130.91340
Lions, P.-L.; Lasry, J.-M.
2007
Large investor trading impacts on volatility. Zbl 1153.91428
Lions, Pierre-Louis; Lasry, Jean-Michel
2007
Mean field games. I: The stationary case. Zbl 1153.91009
Lasry, Jean-Michel; Lions, Pierre-Louis
2006
Mean field games. II: Finite horizon and optimal control. Zbl 1153.91010
Lasry, Jean-Michel; Lions, Pierre-Louis
2006
A variant of stochastic homogenization theory for elliptic operators. Zbl 1103.35014
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2006
Convexity of solutions of parabolic equations. Zbl 1096.35006
Lions, Pierre-Louis; Musiela, Marek
2006
Towards a self-consistent theory of volatility. Zbl 1127.91027
Lions, Pierre-Louis; Lasry, Jean-Michel
2006
Discrete to continuum limit for some models of stochastic lattices of atoms. Zbl 1095.74006
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2006
Some properties of diffusion processes with singular coefficients. Zbl 1104.60045
Lions, Pierre-Louis; Musiela, Marek
2006
Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2005
From atoms to crystals: a mathematical journey. Zbl 1136.81371
Le Bris, Claude; Lions, Pierre-Louis
2005
Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Zbl 1135.35092
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2005
On the uniqueness of the solution of the two-dimensional Navier–Stokes equation with a Dirac mass as initial vorticity. Zbl 1083.35092
Gallagher, Isabelle; Gallay, Thierry; Lions, Pierre-Louis
2005
Homogenization of the Euler system in a 2D porous medium. Zbl 1072.35032
Lions, P.-L.; Masmoudi, N.
2005
Renormalized solutions of some transport equations with partially $$W^{1,1}$$ velocities and applications. Zbl 1170.35364
Le Bris, C.; Lions, P.-L.
2004
Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Zbl 1050.35012
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2003
A definition of the ground state energy for systems composed of infinitely many particles. Zbl 1035.82004
Blanc, X.; Le Bris, C.; Lions, P. L.
2003
From molecular models to continuum mechanics. Zbl 1028.74005
Blanc, X.; Le Bris, C.; Lions, P.-L.
2002
On some periodic Hartree-type models for crystals. Zbl 1005.81101
Catto, I.; Le Bris, C.; Lions, P.-L.
2002
Characterization of functions on $$\mathbb{R}^3$$ with bounded Newtonian potential. Zbl 0995.35028
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2002
From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II. Zbl 0987.76088
Lions, P.-L.; Masmoudi, N.
2001
Applications of Malliavin calculus to Monte-Carlo methods in finance. II. Zbl 0973.60061
Fournié, Eric; Lasry, Jean-Michel; Lebuchoux, Jérôme; Lions, Pierre-Louis
2001
On the thermodynamic limit for Hartree-Fock type models. Zbl 0994.35115
Catto, I.; Le Bris, C.; Lions, P.-L.
2001
Uniqueness of mild solutions of the Navier-Stokes system in $$L^N$$. Zbl 1086.35077
Lions, P.-L.; Masmoudi, N.
2001
A deterministic particle method for nonlinear diffusion equations. Zbl 0973.65003
Lions, Pierre-Louis; Mas-Gallic, Sylvie
2001
Convergence of molecular models to continuum mechanics models. Zbl 0986.74006
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2001
Global solutions for some Oldroyd models of non-Newtonian flows. Zbl 0957.35109
Lions, P. L.; Masmoudi, N.
2000
Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations. Zbl 0970.60072
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2000
Fully nonlinear stochastic PDE with semilinear stochastic dependence. Zbl 0966.60058
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2000
Equilibrium statistical theory for nearly parallel vortex filaments. Zbl 1041.76038
Lions, Pierre-Louis; Majda, Andrew
2000
A new class of singular stochastic control problems. Zbl 0971.49015
Lasry, Jean-Michel; Lions, Pierre-Louis
2000
On some challenging problems in nonlinear partial differential equations. Zbl 0972.35094
Lions, P.-L.
2000
A characterization of the existence of solutions for Hamilton-Jacobi equations in ergodic control problems with applications. Zbl 0967.35029
Arisawa, M.; Ishii, H.; Lions, P.-L.
2000
Applications of Malliavin calculus to Monte Carlo methods in finance. Zbl 0947.60066
Fournié, Eric; Lasry, Jean-Michel; Lebuchous, Jérôme; Lions, Pierre-Louis
1999
Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions. Zbl 0992.35067
Desjardins, B.; Grenier, E.; Lions, P.-L.; Masmoudi, N.
1999
A local approach to the incompressible limit. Zbl 0937.35132
1999
Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations. Zbl 0927.35029
Crandall, M. G.; Kocan, M.; Lions, P. L.; Świȩch, A.
1999
On a free boundary barotropic model. Zbl 0917.76073
Lions, P.-L.; Masmoudi, N.
1999
Bounds on the density for compressible isentropic Navier-Stokes equations with Dirichlet boundary conditions. Zbl 0931.35126
Lions, Pierre-Louis
1999
Comparison results for solutions of elliptic problems via symmetrization. Zbl 0924.35038
Alvino, Angelo; Trombetti, Guido; Lions, Pierre-Louis; Matarasso, Silvano
1999
Stochastic control under partial information and applications to finance. Zbl 0937.93058
1999
Nonlinear stochastic partial differential equations and viscosity solutions. Zbl 1061.35530
Lions, P.-L.; Souganidis, P. E.
1999
Mathematical topics in fluid mechanics. Vol. 2: Compressible models. Zbl 0908.76004
Lions, Pierre-Louis
1998
Incompressible limit for a viscous compressible fluid. Zbl 0909.35101
Lions, P.-L.; Masmoudi, N.
1998
Fully nonlinear stochastic partial differential equations. Zbl 1002.60552
Lions, Pierre-Louis; Souganidis, Panagiotis E.
1998
Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203
Lions, Pierre-Louis; Souganidis, Panagiotis E.
1998
On ergodic stochastic control. Zbl 1126.93434
Arisawa, M.; Lions, P.-L.
1998
The mathematical theory of thermodynamic limits: Thomas-Fermi type models. Zbl 0938.81001
Catto, Isabelle; Le Bris, Claude; Lions, Pierre-Louis
1998
Regularity and compactness for Boltzmann collision kernels without angular cut-off. Zbl 0920.35114
Lions, Pierre-Louis
1998
On ordinary differential equations and transport equations. Zbl 0919.34028
Lions, Pierre-Louis
1998
Identification of the dual cone of convex functions and applications. Zbl 0924.46059
Lions, Pierre-Louis
1998
On the thermodynamic limit for Hartree and Hartree-Fock type models. Zbl 0919.35142
Catto, Isabelle; Le Bris, Claude; Lions, Pierre-Louis
1998
Optimal regularity of velocity averages. II. Zbl 0922.35135
Lions, Pierre-Louis
1998
Uniqueness of weak solutions of Navier-Stokes in $$L^N(\Omega)$$. Zbl 0990.35114
1998
On Euler equations and statistical physics. Zbl 1024.35085
Lions, Pierre-Louis
1998
Image recovery via total variation minimization and related problems. Zbl 0874.68299
Chambolle, Antonin; Lions, Pierre-Louis
1997
On the existence of a positive solution of semilinear elliptic equations in unbounded domains. Zbl 0883.35045
Bahri, Abbas; Lions, Pierre-Louis
1997
Convex viscosity solutions and state constraints. Zbl 0890.49013
Alvarez, O.; Lasry, J.-M.; Lions, P.-L.
1997
Convex symmetrization and applications. Zbl 0877.35040
Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido; Lions, Pierre-Louis
1997
Diffusive limit for finite velocity Boltzmann kinetic models. Zbl 0896.35109
Lions, Pierre Louis; Toscani, Giuseppe
1997
Viscosity solutions and applications. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Montecatini Terme, Italy, June 12-20, 1995. Zbl 0868.00050
Capuzzo Dolcetta, I. (ed.); Lions, P. L. (ed.)
1997
Some nonlinear methods for studying far-from-the-money contingent claims. Zbl 0898.90035
Fournié, E.; Lasry, J. M.; Lions, P. L.
1997
...and 246 more Documents
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#### Cited by 11,291 Authors

 137 Lions, Pierre-Louis 73 Alves, Claudianor Oliveira 71 Feireisl, Eduard 66 Perthame, Benoît 61 Tang, Xianhua 60 Souganidis, Panagiotis E. 53 Do Ó, João M. Bezerra 50 Barles, Guy 50 Cardaliaguet, Pierre 49 Masmoudi, Nader 49 Rossi, Julio Daniel 48 Ishii, Hitoshi 42 Wang, Zhi-Qiang 40 Le Bris, Claude 40 Miyagaki, Olimpio Hiroshi 39 Wei, Juncheng 36 Figueiredo, Giovany Malcher 36 Squassina, Marco 36 Yang, Minbo 36 Zou, Wenming 34 Gomes, Diogo Luís Aguiar 32 Ding, Yanheng 32 Porretta, Alessio 32 Wang, Dehua 32 Yang, Jianfu 32 Zhang, Ping 31 Cannarsa, Piermarco 31 Novotný, Antonín 30 Crippa, Gianluca 30 Giga, Yoshikazu 30 Markowich, Peter Alexander 30 Wang, Jun 30 Zhang, Xianwen 29 Osher, Stanley Joel 29 Quaas, Alexander 28 Ambrosio, Luigi 28 Cao, Daomin 28 Cianchi, Andrea 28 Felmer, Patricio L. 28 Lu, Guozhen 28 Monneau, Régis 28 Peng, Shuangjie 28 Van Schaftingen, Jean 27 Benci, Vieri 27 Chen, Gui-Qiang G. 27 Flandoli, Franco 27 Jeanjean, Louis 27 Kang, Dongsheng 27 Nečasová, Šárka 27 Świȩch, Andrzej 27 Vasseur, Alexis F. 27 Winkler, Michael 27 Yang, Tong 26 Berestycki, Henri 26 Buckdahn, Rainer 26 Golse, François 26 Li, Juan 25 Byeon, Jaeyoung 25 Esteban, Maria J. 25 Touzi, Nizar 25 Zhang, Jian 24 Bardi, Martino 24 Barron, Emmanuel Nicholas 24 Caffarelli, Luis Ángel 24 Deng, Yinbin 24 Desvillettes, Laurent 24 Lewin, Mathieu 24 Li, Gongbao 24 Pucci, Patrizia 24 Soner, Halil Mete 24 Tan, Zhong 24 Vazquez, Juan Luis 24 Xin, Zhouping 23 Camilli, Fabio 23 Capuzzo Dolcetta, Italo 23 Goudon, Thierry 23 Hsu, TsingSan 23 Karlsen, Kenneth Hvistendahl 23 Merle, Frank 23 Saint-Raymond, Laure 23 Yang, Dachun 23 Zhang, Jianfeng 23 Zhang, Jianjun 22 Bartolucci, Daniele 22 Bayraktar, Erhan 22 Chen, Jianqing 22 Chen, Sitong 22 Dolbeault, Jean 22 Huang, Feimin 22 Jiang, Song 22 Novaga, Matteo 22 Peral Alonso, Ireneo 22 Quincampoix, Marc 21 Ambrosio, Vincenzo 21 Donatelli, Donatella 21 Jabin, Pierre-Emmanuel 21 Jin, Shi 21 Kwon, Young-Sam 21 Mitake, Hiroyoshi 21 Raphael, Pierre ...and 11,191 more Authors
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#### Cited in 665 Serials

 843 Journal of Differential Equations 745 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 717 Journal of Mathematical Analysis and Applications 392 Archive for Rational Mechanics and Analysis 334 Calculus of Variations and Partial Differential Equations 310 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 307 Communications in Partial Differential Equations 260 Journal of Functional Analysis 239 Journal de Mathématiques Pures et Appliquées. Neuvième Série 220 Nonlinear Analysis. Theory, Methods & Applications 209 Communications in Mathematical Physics 191 Journal of Mathematical Physics 173 Discrete and Continuous Dynamical Systems 160 Transactions of the American Mathematical Society 151 Comptes Rendus. Mathématique. Académie des Sciences, Paris 146 Journal of Computational Physics 143 NoDEA. Nonlinear Differential Equations and Applications 142 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 139 Computers & Mathematics with Applications 138 Communications on Pure and Applied Analysis 135 Applied Mathematics and Optimization 134 Journal of Optimization Theory and Applications 133 Applied Mathematics and Computation 127 Proceedings of the American Mathematical Society 124 SIAM Journal on Mathematical Analysis 121 Stochastic Processes and their Applications 120 Applied Mathematics Letters 120 Nonlinear Analysis. Real World Applications 114 ZAMP. Zeitschrift für angewandte Mathematik und Physik 108 Communications on Pure and Applied Mathematics 108 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 106 Mathematical Methods in the Applied Sciences 105 Annali di Matematica Pura ed Applicata. Serie Quarta 102 Journal of Statistical Physics 101 Journal of Scientific Computing 95 Journal of Computational and Applied Mathematics 94 Communications in Contemporary Mathematics 93 Advances in Mathematics 88 Advanced Nonlinear Studies 87 Applicable Analysis 86 Mathematische Annalen 84 SIAM Journal on Control and Optimization 81 Journal of Mathematical Imaging and Vision 79 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 68 Mathematics of Computation 68 Abstract and Applied Analysis 67 Physica D 67 Boundary Value Problems 67 Science China. Mathematics 63 The Annals of Applied Probability 61 Numerische Mathematik 59 Journal of Mathematical Fluid Mechanics 56 Acta Applicandae Mathematicae 56 Probability Theory and Related Fields 56 Kinetic and Related Models 55 The Annals of Probability 55 Applied Numerical Mathematics 52 Potential Analysis 51 Acta Mathematica Sinica. English Series 50 Automatica 50 Revista Matemática Iberoamericana 50 Advances in Nonlinear Analysis 49 Dynamic Games and Applications 48 Duke Mathematical Journal 48 Journal of Mathematical Sciences (New York) 47 Manuscripta Mathematica 46 Acta Mathematicae Applicatae Sinica. English Series 46 Complex Variables and Elliptic Equations 45 Nonlinearity 43 Computer Methods in Applied Mechanics and Engineering 43 SIAM Journal on Imaging Sciences 42 Chinese Annals of Mathematics. Series B 42 Mediterranean Journal of Mathematics 42 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 41 Journal of Dynamics and Differential Equations 40 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 40 Stochastic Analysis and Applications 40 Journal of Hyperbolic Differential Equations 40 Fixed Point Theory and Applications 39 Journal of the European Mathematical Society (JEMS) 38 Quarterly of Applied Mathematics 38 Systems & Control Letters 38 Optimization 35 Computational Optimization and Applications 35 Discrete and Continuous Dynamical Systems. Series B 34 SIAM Journal on Scientific Computing 34 Journal of Fixed Point Theory and Applications 33 SIAM Journal on Numerical Analysis 33 SIAM Journal on Optimization 33 Journal of Evolution Equations 33 Discrete and Continuous Dynamical Systems. Series S 32 The Journal of Geometric Analysis 31 Journal d’Analyse Mathématique 31 Journal of Global Optimization 31 Journal of Inequalities and Applications 30 Transport Theory and Statistical Physics 30 Bulletin des Sciences Mathématiques 30 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 29 Mathematische Nachrichten 29 Mathematische Zeitschrift ...and 565 more Serials
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#### Cited in 61 Fields

 9,812 Partial differential equations (35-XX) 2,231 Calculus of variations and optimal control; optimization (49-XX) 2,024 Fluid mechanics (76-XX) 1,648 Numerical analysis (65-XX) 1,326 Probability theory and stochastic processes (60-XX) 1,019 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,004 Operator theory (47-XX) 900 Statistical mechanics, structure of matter (82-XX) 775 Systems theory; control (93-XX) 635 Operations research, mathematical programming (90-XX) 625 Global analysis, analysis on manifolds (58-XX) 597 Functional analysis (46-XX) 474 Ordinary differential equations (34-XX) 442 Information and communication theory, circuits (94-XX) 412 Quantum theory (81-XX) 400 Dynamical systems and ergodic theory (37-XX) 333 Computer science (68-XX) 333 Biology and other natural sciences (92-XX) 325 Differential geometry (53-XX) 308 Mechanics of deformable solids (74-XX) 304 Real functions (26-XX) 213 Harmonic analysis on Euclidean spaces (42-XX) 203 Integral equations (45-XX) 188 Optics, electromagnetic theory (78-XX) 175 Mechanics of particles and systems (70-XX) 133 Classical thermodynamics, heat transfer (80-XX) 86 Statistics (62-XX) 86 Astronomy and astrophysics (85-XX) 84 Potential theory (31-XX) 70 Relativity and gravitational theory (83-XX) 60 Convex and discrete geometry (52-XX) 59 Geophysics (86-XX) 50 Measure and integration (28-XX) 47 Several complex variables and analytic spaces (32-XX) 43 Functions of a complex variable (30-XX) 42 Difference and functional equations (39-XX) 40 Approximations and expansions (41-XX) 34 General topology (54-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 22 General and overarching topics; collections (00-XX) 21 Topological groups, Lie groups (22-XX) 20 Abstract harmonic analysis (43-XX) 17 Algebraic topology (55-XX) 17 Manifolds and cell complexes (57-XX) 16 History and biography (01-XX) 11 Combinatorics (05-XX) 10 Integral transforms, operational calculus (44-XX) 6 Special functions (33-XX) 5 Mathematical logic and foundations (03-XX) 5 Algebraic geometry (14-XX) 5 Geometry (51-XX) 4 Group theory and generalizations (20-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Mathematics education (97-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 1 Sequences, series, summability (40-XX)

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