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Cardaliaguet, Pierre

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 Author ID: cardaliaguet.pierre Published as: Cardaliaguet, Pierre; Cardaliaguet, P.
 Documents Indexed: 121 Publications since 1992, including 4 Books
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Co-Authors

 23 single-authored 15 Quincampoix, Marc 10 Cannarsa, Piermarco 10 Porretta, Alessio 9 Rainer, Catherine 9 Saint-Pierre, Patrick 8 Tahraoui, Rabah 7 Ley, Olivier 7 Souganidis, Panagiotis E. 4 Lions, Pierre-Louis 3 Armstrong, Scott N. 3 Barles, Guy 3 Buckdahn, Rainer 3 Lasry, Jean-Michel 3 Monneau, Régis 3 Monteillet, Aurélien 3 Plaskacz, Sławomir 3 Tonon, Daniela 2 Barron, Emmanuel Nicholas 2 Capuani, Rossana 2 Forcadel, Nicolas 2 Giorgieri, Elena 2 Jimenez, Chloé 1 Alvarez, Olivier 1 Bardi, Martino 1 Bettiol, Piernicola 1 Biton, Samuel 1 Briand, Philippe 1 Briani, Ariela 1 Carlier, Guillaume 1 Castelpietra, Marco 1 Chaudru De Raynal, Paul-Eric 1 Cirant, Marco 1 Crasta, Graziano 1 Cressman, Ross 1 Da Lio, Francesca 1 Dacorogna, Bernard 1 Delarue, François 1 Gabor, Grzegorz 1 Gangbo, Wilfrid 1 Georgy, Nicolas 1 Hadikhanloo, Saeed 1 Hu, Ying 1 Jensen, Robert R. 1 Laraki, Rida 1 Le Bris, Claude 1 Lehalle, Charles-Albert 1 Marchi, Claudio 1 Masoero, Marco 1 Mendico, Cristian 1 Mészáros, Alpár Richárd 1 Nazaret, Bruno 1 Pasquignon, Denis 1 Prinari, Francesca 1 Rosenberg, Dinah 1 Rouy, Elisabeth 1 Salvarani, Francesco 1 Santambrogio, Filippo 1 Seeger, Benjamin 1 Sinestrari, Carlo 1 Sorin, Sylvain 1 Souquière, Anne 1 Vieille, Nicolas
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Serials

 14 SIAM Journal on Control and Optimization 8 Applied Mathematics and Optimization 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Mathematical Analysis 4 Comptes Rendus de l’Académie des Sciences. Série I 4 Calculus of Variations and Partial Differential Equations 4 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Mathematical Analysis and Applications 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Interfaces and Free Boundaries 3 Dynamic Games and Applications 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 International Journal of Game Theory 2 Mathematics of Operations Research 2 Transactions of the American Mathematical Society 2 Advances in Differential Equations 2 Journal of the European Mathematical Society (JEMS) 1 Annales Polonici Mathematici 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Proceedings of the American Mathematical Society 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Journal of the American Mathematical Society 1 Stochastic Processes and their Applications 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Set-Valued Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Convex Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 International Game Theory Review 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annals of the International Society of Dynamic Games 1 Annals of Mathematics Studies 1 Lecture Notes in Mathematics 1 Mathematics and Financial Economics 1 Networks and Heterogeneous Media 1 Analysis & PDE 1 Springer INdAM Series 1 Journal of Dynamics and Games 1 Séminaire Laurent Schwartz. EDP et Applications 1 Mathematics in Engineering
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Fields

 69 Calculus of variations and optimal control; optimization (49-XX) 64 Partial differential equations (35-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Systems theory; control (93-XX) 12 Probability theory and stochastic processes (60-XX) 6 Differential geometry (53-XX) 6 Mechanics of deformable solids (74-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Fluid mechanics (76-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 2 Measure and integration (28-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)

Citations contained in zbMATH Open

108 Publications have been cited 1,370 times in 693 Documents Cited by Year
Long time average of mean field games. Zbl 1270.35098
Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio
2012
Long time average of first order mean field games and weak KAM theory. Zbl 1314.91043
Cardaliaguet, P.
2013
Second order mean field games with degenerate diffusion and local coupling. Zbl 1344.49061
Cardaliaguet, Pierre; Graber, P. Jameson; Porretta, Alessio; Tonon, Daniela
2015
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
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
Mean field games systems of first order. Zbl 1319.35273
Cardaliaguet, Pierre; Graber, P. Jameson
2015
Set-valued numerical analysis for optimal control and differential games. Zbl 0982.91014
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
1999
Some recent aspects of differential game theory. Zbl 1214.91013
Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M.
2011
Nash equilibrium payoffs for nonzero-sum stochastic differential games. Zbl 1101.91010
Buckdahn, Rainer; Cardaliaguet, Pierre; Rainer, Catherine
2004
Deterministic differential games under probability knowledge of initial condition. Zbl 1152.91358
Cardaliaguet, P.; Quincampoix, M.
2008
Stochastic differential games with asymmetric information. Zbl 1170.91308
Cardaliaguet, Pierre; Rainer, Catherine
2009
Weak solutions for first order mean field games with local coupling. Zbl 1329.49068
Cardaliaguet, Pierre
2015
Differential games with asymmetric information. Zbl 1293.91020
Cardaliaguet, P.
2007
Pursuit differential games with state constraints. Zbl 1140.91320
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
2001
Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148
Alvarez, O.; Cardaliaguet, P.; Monneau, R.
2005
Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. Zbl 1286.35023
Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E.
2014
On a continuous-time game with incomplete information. Zbl 1232.91008
Cardaliaguet, Pierre; Rainer, Catherine
2009
Representation of equilibrium solutions to the table problem for growing sandpiles. Zbl 1084.35015
Cannarsa, Piermarco; Cardaliaguet, Pierre
2004
First order mean field games with density constraints: pressure equals price. Zbl 1356.35257
Cardaliaguet, Pierre; Mészáros, Alpár R.; Santambrogio, Filippo
2016
Optimal times for constrained nonlinear control problems without local controllability. Zbl 0884.49002
Cardaliaguet, P.; Quincampoix, M.; Saint-Pierre, P.
1997
Hölder continuity to Hamilton-Jacobi equations with superquadratic growth in the gradient and unbounded right-hand side. Zbl 1255.35066
Cardaliaguet, Pierre; Silvestre, Luis
2012
Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions. Zbl 1392.35031
Armstrong, Scott; Cardaliaguet, Pierre
2018
A continuous time approach for the asymptotic value in two-person zero-sum repeated games. Zbl 1261.91005
Cardaliaguet, Pierre; Laraki, Rida; Sorin, Sylvain
2012
Geodesics for a class of distances in the space of probability measures. Zbl 1279.49029
Cardaliaguet, P.; Carlier, G.; Nazaret, B.
2013
Global existence results and uniqueness for dislocation equations. Zbl 1158.49029
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis
2008
A differential game with two players and one target. Zbl 0853.90136
Cardaliaguet, Pierre
1996
A double obstacle problem arising in differential game theory. Zbl 1173.49033
Cardaliaguet, Pierre
2009
Learning in mean field games: the fictitious play. Zbl 1365.35183
2017
A boundary value problem for a PDE model in mass transfer theory: representation of solutions and applications. Zbl 1089.35076
Cannarsa, P.; Cardaliaguet, P.; Crasta, G.; Giorgieri, E.
2005
A discussion about the homogenization of moving interfaces. Zbl 1180.35070
Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E.
2009
Homogenization and enhancement for the $$G$$-equation. Zbl 1294.35002
Cardaliaguet, P.; Nolen, J.; Souganidis, P. E.
2011
Homogenization and enhancement of the $$G$$-equation in random environments. Zbl 1284.60126
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
2013
Existence and uniqueness of a Nash equilibrium feedback for a simple nonzero-sum differential game. Zbl 1084.91008
2003
Mean field game of controls and an application to trade crowding. Zbl 1397.91084
Cardaliaguet, Pierre; Lehalle, Charles-Albert
2018
Conditional essential suprema with applications. Zbl 1049.60003
Barron, E. N.; Cardaliaguet, P.; Jensen, R.
2003
Differential games through viability theory: old and recent results. Zbl 1152.91360
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
2007
Zero-sum state constrained differential games: Existence of value for Bolza problem. Zbl 1103.49019
Bettiol, Piernicola; Cardaliaguet, Pierre; Quincampoix, Marc
2006
A representation formula for the mean curvature motion. Zbl 1074.93037
Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M.
2001
On the strict concavity of the harmonic radius in dimension $$N\geq 3$$. Zbl 1027.31003
Cardaliaguet, Pierre; Tahraoui, Rabah
2002
Stable solutions in potential mean field game systems. Zbl 1390.35365
Briani, Ariela; Cardaliaguet, Pierre
2018
The convergence problem in mean field games with local coupling. Zbl 1431.49043
Cardaliaguet, P.
2017
Numerical schemes for dicontinuous value functions of optimal control. Zbl 0988.49016
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
2000
Pure and random strategies in differential game with incomplete informations. Zbl 1304.49075
Cardaliaguet, Pierre; Jimenez, Chloé; Quincampoix, Marc
2014
Games with incomplete information in continuous time and for continuous types. Zbl 1273.91020
Cardaliaguet, Pierre; Rainer, Catherine
2012
Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations. Zbl 1320.35032
Armstrong, Scott N.; Cardaliaguet, Pierre
2015
Long time behavior of the master equation in mean field game theory. Zbl 1428.35607
Cardaliaguet, Pierre; Porretta, Alessio
2019
Invariant solutions of differential games and Hamilton-Jacobi-Isaacs equations for time-measurable Hamiltonians. Zbl 0966.49021
2000
Some algorithms for differential games with two players and one target. Zbl 0821.90145
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
1994
On a differential model for growing sandpiles with non-regular sources. Zbl 1190.35131
Cannarsa, Piermarco; Cardaliaguet, Pierre; Sinestrari, Carlo
2009
Ergodicity of Hamilton-Jacobi equations with a noncoercive nonconvex Hamiltonian in $$\mathbb R^2/\mathbb Z^2$$. Zbl 1201.35089
Cardaliaguet, Pierre
2010
Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations. Zbl 1206.35052
Cannarsa, Piermarco; Cardaliaguet, Pierre
2010
Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021
Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N.
1999
On front propagation problems with nonlocal terms. Zbl 1029.53081
Cardaliaguet, Pierre
2000
Uniqueness results for nonlocal Hamilton-Jacobi equations. Zbl 1169.49028
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
2009
Front propagation problems with nonlocal terms. II. Zbl 1002.35064
Cardaliaguet, Pierre
2001
Some uniqueness results for Bernoulli interior free-boundary problems in convex domains. Zbl 1029.35227
Cardaliaguet, Pierre; Tahraoui, Rabah
2002
A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable. Zbl 1175.35030
Cardaliaguet, Pierre
2009
Markov games with frequent actions and incomplete information – the limit case. Zbl 1347.91049
Cardaliaguet, Pierre; Rainer, Catherine; Rosenberg, Dinah; Vieille, Nicolas
2016
Numerical approximation and optimal strategies for differential games with lack of information on one side. Zbl 1179.91037
Cardaliaguet, Pierre
2009
Some flows in shape optimization. Zbl 1157.35500
Cardaliaguet, Pierre; Ley, Olivier
2007
Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations. Zbl 1166.49027
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
2009
Pathwise strategies for stochastic differential games with an erratum to “Stochastic differential games with asymmetric information”. Zbl 1272.93127
Cardaliaguet, P.; Rainer, C.
2013
On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations. (Sur l’existence de correcteurs en homogénéisation stochastique d’équations de Hamilton-Jacobi.) Zbl 1368.35025
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
2017
Perimeter estimates for reachable sets of control systems. Zbl 1114.93018
Cannarsa, Piermarco; Cardaliaguet, Pierre
2006
Mean field games: the master equation and the mean field limit. Zbl 1358.35199
Cardaliaguet, Pierre
2016
Sobolev regularity for the first order Hamilton-Jacobi equation. Zbl 1326.49060
Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela
2015
A differential game with a blind player. Zbl 1259.49062
Cardaliaguet, Pierre; Souquière, Anne
2012
Equilibria and strict equilibria of multivalued maps on noninvariant sets. Zbl 1099.54018
Cardaliaguet, Pierre; Gabor, Grzegorz; Quincampoix, Marc
2003
Sufficient conditions for non-emptiness of the viability kernel. (Conditions suffisantes de non-vacuité du noyau de viabilité.) Zbl 0761.34016
Cardaliaguet, Pierre
1992
Optimal times for constrained controlled systems without local controllability. (Temps optimaux pour des problèmes de contrôle avec contraintes et sans contrôlabilité locale.) Zbl 0799.49017
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
1994
On the instability of the feedback equilibrium payoff in a nonzero-sum differential game on the line. Zbl 1152.91359
Cardaliaguet, Pierre
2007
Hölder regularity of the normal distance with an application to a PDE model for growing sandpiles. Zbl 1115.58015
Cannarsa, P.; Cardaliaguet, P.; Giorgieri, E.
2007
On the energy of a flow arising in shape optimization. Zbl 1159.35076
Cardaliaguet, Pierre; Ley, Olivier
2008
Representations formulas for some differential games with asymmetric information. Zbl 1146.91010
Cardaliaguet, P.
2008
Hölder regularity for viscosity solutions of fully nonlinear, local or nonlocal, Hamilton-Jacobi equations with superquadratic growth in the gradient. Zbl 1218.49044
Cardaliaguet, Pierre; Rainer, Catherine
2011
On the equivalence between rank-one convexity and polyconvexity for isotropic sets of $$\mathbb{R}^{2\times 2}$$. (Sur l’équivalence de la 1-rang convexité et de la polyconvexité des ensembles isotropiques de $$\mathbb{R}^{2\times 2}$$.) Zbl 1064.26005
Cardaliaguet, Pierre; Tahraoui, Rabah
2000
Supremal representation of $$L^\infty$$ functionals. Zbl 1091.49012
Cardaliaguet, Pierre; Prinari, Francesca
2005
Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012
Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R.
2007
On the convergence of open loop Nash equilibria in mean field games with a local coupling. Zbl 1428.35606
Cardaliaguet, Pierre
2019
Nonsmooth semipermeable Barriers, Isaacs’ equation, and application to a differential game with one target and two players. Zbl 0907.90292
Cardaliaguet, P.
1997
Radon-Nikodym theorem in $$L^\infty$$. Zbl 0984.28002
Barron, E. N.; Cardaliaguet, P.; Jensen, R. R.
2000
Equivalence between rank-one convexity and polyconvexity for isotropic sets of $${\mathbb R}^{2{\times}2}$$. I. Zbl 1004.49007
Cardaliaguet, Pierre; Tahraoui, Rabah
2002
On the approximation of front propagation problems with nonlocal terms. Zbl 0992.65097
Cardaliaguet, Pierre; Pasquignon, Denis
2001
Viscosity solutions of increasing flows of sets. Application of the Hele-Shaw problem for power-law fluids. Zbl 1114.35149
Cardaliaguet, Pierre; Rouy, Elisabeth
2006
Regularity of the eikonal equation with Neumann boundary conditions in the plane: application to fronts with nonlocal terms. Zbl 1124.35014
Cardaliaguet, Pierre; Marchi, Claudio
2006
A segregation problem in multi-population mean field games. Zbl 1417.91110
Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela
2017
C$$^{1,1}$$-smoothness of constrained solutions in the calculus of variations with application to mean field games. Zbl 1433.49002
Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre
2019
Remarks on Nash equilibria in mean field game models with a major player. Zbl 1446.35213
Cardaliaguet, P.; Cirant, M.; Porretta, A.
2020
Qualitative and quantitative differential games with state constraints. (Contribution à l’étude des jeux différentiels quantitatifs et qualitatifs avec contrainte sur l’état.) Zbl 0842.90138
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
1995
Viability and invariance for differential games with applications to Hamilton-Jacobi-Isaacs equations. Zbl 0856.90150
1996
Equivalence between rank-one convexity and polyconvexity for isotropic sets of $${\mathbb R}^{2{\times}2}$$. II. Zbl 1004.49008
Cardaliaguet, Pierre; Tahraoui, Rabah
2002
Differential games with state-constraints. Zbl 1057.91009
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
2002
Nonfattening condition for the generalized evolution by mean curvature and applications. Zbl 1154.53041
Biton, Samuel; Cardaliaguet, Pierre; Ley, Olivier
2008
Regularity properties of attainable sets under state constraints. Zbl 1206.49038
Cannarsa, P.; Castelpietra, M.; Cardaliaguet, P.
2008
Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations. Zbl 1320.35040
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
2015
An example of multiple mean field limits in ergodic differential games. Zbl 1434.91010
Cardaliaguet, Pierre; Rainer, Catherine
2020
On the regularity of semipermeable surfaces in control theory with application to the optimal exit-time problem. II. Zbl 0889.49003
Cardaliaguet, Pierre
1997
Extended Hardy-Littlewood inequality and applications to the calculus of variations. (Inégalité de Hardy-Littlewood généralisée et applications au calcul des variations.) Zbl 0943.49002
Cardaliaguet, Pierre; Tahraoui, Rabah
1999
On the strict concavity of the harmonic radius in dimension $$N\geqq 3$$. (Sur la stricte concavité du rayon harmonique en dimension $$N\geqq 3$$.) Zbl 0999.31001
Cardaliaguet, Pierre; Tahraoui, Rabah
2001
Extended Hardy-Littlewood inequalities and applications to the calculus of variations. Zbl 1004.49009
Cardaliaguet, Pierre; Tahraoui, Rabah
2000
Mean field games with state constraints: from mild to pointwise solutions of the PDE system. Zbl 1467.49023
Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre
2021
Remarks on Nash equilibria in mean field game models with a major player. Zbl 1446.35213
Cardaliaguet, P.; Cirant, M.; Porretta, A.
2020
An example of multiple mean field limits in ergodic differential games. Zbl 1434.91010
Cardaliaguet, Pierre; Rainer, Catherine
2020
Weak KAM theory for potential MFG. Zbl 1437.37098
Cardaliaguet, Pierre; Masoero, Marco
2020
An introduction to mean field game theory. Zbl 1457.91058
Cardaliaguet, Pierre; Porretta, Alessio
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
Long time behavior of the master equation in mean field game theory. Zbl 1428.35607
Cardaliaguet, Pierre; Porretta, Alessio
2019
On the convergence of open loop Nash equilibria in mean field games with a local coupling. Zbl 1428.35606
Cardaliaguet, Pierre
2019
C$$^{1,1}$$-smoothness of constrained solutions in the calculus of variations with application to mean field games. Zbl 1433.49002
Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre
2019
On the (in)efficiency of MFG equilibria. Zbl 1422.91079
Cardaliaguet, Pierre; Rainer, Catherine
2019
Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions. Zbl 1392.35031
Armstrong, Scott; Cardaliaguet, Pierre
2018
Mean field game of controls and an application to trade crowding. Zbl 1397.91084
Cardaliaguet, Pierre; Lehalle, Charles-Albert
2018
Stable solutions in potential mean field game systems. Zbl 1390.35365
Briani, Ariela; Cardaliaguet, Pierre
2018
Learning in mean field games: the fictitious play. Zbl 1365.35183
2017
The convergence problem in mean field games with local coupling. Zbl 1431.49043
Cardaliaguet, P.
2017
On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations. (Sur l’existence de correcteurs en homogénéisation stochastique d’équations de Hamilton-Jacobi.) Zbl 1368.35025
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
2017
A segregation problem in multi-population mean field games. Zbl 1417.91110
Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela
2017
First order mean field games with density constraints: pressure equals price. Zbl 1356.35257
Cardaliaguet, Pierre; Mészáros, Alpár R.; Santambrogio, Filippo
2016
Markov games with frequent actions and incomplete information – the limit case. Zbl 1347.91049
Cardaliaguet, Pierre; Rainer, Catherine; Rosenberg, Dinah; Vieille, Nicolas
2016
Mean field games: the master equation and the mean field limit. Zbl 1358.35199
Cardaliaguet, Pierre
2016
Second order mean field games with degenerate diffusion and local coupling. Zbl 1344.49061
Cardaliaguet, Pierre; Graber, P. Jameson; Porretta, Alessio; Tonon, Daniela
2015
Mean field games systems of first order. Zbl 1319.35273
Cardaliaguet, Pierre; Graber, P. Jameson
2015
Weak solutions for first order mean field games with local coupling. Zbl 1329.49068
Cardaliaguet, Pierre
2015
Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations. Zbl 1320.35032
Armstrong, Scott N.; Cardaliaguet, Pierre
2015
Sobolev regularity for the first order Hamilton-Jacobi equation. Zbl 1326.49060
Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela
2015
Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations. Zbl 1320.35040
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
2015
Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. Zbl 1286.35023
Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E.
2014
Pure and random strategies in differential game with incomplete informations. Zbl 1304.49075
Cardaliaguet, Pierre; Jimenez, Chloé; Quincampoix, Marc
2014
Long time average of first order mean field games and weak KAM theory. Zbl 1314.91043
Cardaliaguet, P.
2013
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
Geodesics for a class of distances in the space of probability measures. Zbl 1279.49029
Cardaliaguet, P.; Carlier, G.; Nazaret, B.
2013
Homogenization and enhancement of the $$G$$-equation in random environments. Zbl 1284.60126
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
2013
Pathwise strategies for stochastic differential games with an erratum to “Stochastic differential games with asymmetric information”. Zbl 1272.93127
Cardaliaguet, P.; Rainer, C.
2013
Long time average of mean field games. Zbl 1270.35098
Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio
2012
Hölder continuity to Hamilton-Jacobi equations with superquadratic growth in the gradient and unbounded right-hand side. Zbl 1255.35066
Cardaliaguet, Pierre; Silvestre, Luis
2012
A continuous time approach for the asymptotic value in two-person zero-sum repeated games. Zbl 1261.91005
Cardaliaguet, Pierre; Laraki, Rida; Sorin, Sylvain
2012
Games with incomplete information in continuous time and for continuous types. Zbl 1273.91020
Cardaliaguet, Pierre; Rainer, Catherine
2012
A differential game with a blind player. Zbl 1259.49062
Cardaliaguet, Pierre; Souquière, Anne
2012
Advances in dynamic games. Theory, applications, and numerical methods for differential and stochastic games. Most papers based on the presentations at the 14th international symposium, Banff, Canada, June 2010. Zbl 1252.91002
Cardaliaguet, Pierre; Cressman, Ross
2012
Regularity results for eikonal-type equations with nonsmooth coefficients. Zbl 1254.49022
Cannarsa, Piermarco; Cardaliaguet, Pierre
2012
Some recent aspects of differential game theory. Zbl 1214.91013
Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M.
2011
Homogenization and enhancement for the $$G$$-equation. Zbl 1294.35002
Cardaliaguet, P.; Nolen, J.; Souganidis, P. E.
2011
Hölder regularity for viscosity solutions of fully nonlinear, local or nonlocal, Hamilton-Jacobi equations with superquadratic growth in the gradient. Zbl 1218.49044
Cardaliaguet, Pierre; Rainer, Catherine
2011
Optimal transport with convex obstacle. Zbl 1214.49041
Cardaliaguet, Pierre; Jimenez, Chloé
2011
Viscosity solutions for a polymer crystal growth model. Zbl 1246.49026
Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
2011
Ergodicity of Hamilton-Jacobi equations with a noncoercive nonconvex Hamiltonian in $$\mathbb R^2/\mathbb Z^2$$. Zbl 1201.35089
Cardaliaguet, Pierre
2010
Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations. Zbl 1206.35052
Cannarsa, Piermarco; Cardaliaguet, Pierre
2010
Stochastic differential games with asymmetric information. Zbl 1170.91308
Cardaliaguet, Pierre; Rainer, Catherine
2009
On a continuous-time game with incomplete information. Zbl 1232.91008
Cardaliaguet, Pierre; Rainer, Catherine
2009
A double obstacle problem arising in differential game theory. Zbl 1173.49033
Cardaliaguet, Pierre
2009
A discussion about the homogenization of moving interfaces. Zbl 1180.35070
Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E.
2009
On a differential model for growing sandpiles with non-regular sources. Zbl 1190.35131
Cannarsa, Piermarco; Cardaliaguet, Pierre; Sinestrari, Carlo
2009
Uniqueness results for nonlocal Hamilton-Jacobi equations. Zbl 1169.49028
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
2009
A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable. Zbl 1175.35030
Cardaliaguet, Pierre
2009
Numerical approximation and optimal strategies for differential games with lack of information on one side. Zbl 1179.91037
Cardaliaguet, Pierre
2009
Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations. Zbl 1166.49027
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
2009
Deterministic differential games under probability knowledge of initial condition. Zbl 1152.91358
Cardaliaguet, P.; Quincampoix, M.
2008
Global existence results and uniqueness for dislocation equations. Zbl 1158.49029
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis
2008
On the energy of a flow arising in shape optimization. Zbl 1159.35076
Cardaliaguet, Pierre; Ley, Olivier
2008
Representations formulas for some differential games with asymmetric information. Zbl 1146.91010
Cardaliaguet, P.
2008
Nonfattening condition for the generalized evolution by mean curvature and applications. Zbl 1154.53041
Biton, Samuel; Cardaliaguet, Pierre; Ley, Olivier
2008
Regularity properties of attainable sets under state constraints. Zbl 1206.49038
Cannarsa, P.; Castelpietra, M.; Cardaliaguet, P.
2008
Differential games with asymmetric information. Zbl 1293.91020
Cardaliaguet, P.
2007
Differential games through viability theory: old and recent results. Zbl 1152.91360
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
2007
Some flows in shape optimization. Zbl 1157.35500
Cardaliaguet, Pierre; Ley, Olivier
2007
On the instability of the feedback equilibrium payoff in a nonzero-sum differential game on the line. Zbl 1152.91359
Cardaliaguet, Pierre
2007
Hölder regularity of the normal distance with an application to a PDE model for growing sandpiles. Zbl 1115.58015
Cannarsa, P.; Cardaliaguet, P.; Giorgieri, E.
2007
Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012
Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R.
2007
Zero-sum state constrained differential games: Existence of value for Bolza problem. Zbl 1103.49019
Bettiol, Piernicola; Cardaliaguet, Pierre; Quincampoix, Marc
2006
Perimeter estimates for reachable sets of control systems. Zbl 1114.93018
Cannarsa, Piermarco; Cardaliaguet, Pierre
2006
Viscosity solutions of increasing flows of sets. Application of the Hele-Shaw problem for power-law fluids. Zbl 1114.35149
Cardaliaguet, Pierre; Rouy, Elisabeth
2006
Regularity of the eikonal equation with Neumann boundary conditions in the plane: application to fronts with nonlocal terms. Zbl 1124.35014
Cardaliaguet, Pierre; Marchi, Claudio
2006
Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148
Alvarez, O.; Cardaliaguet, P.; Monneau, R.
2005
A boundary value problem for a PDE model in mass transfer theory: representation of solutions and applications. Zbl 1089.35076
Cannarsa, P.; Cardaliaguet, P.; Crasta, G.; Giorgieri, E.
2005
Supremal representation of $$L^\infty$$ functionals. Zbl 1091.49012
Cardaliaguet, Pierre; Prinari, Francesca
2005
Nash equilibrium payoffs for nonzero-sum stochastic differential games. Zbl 1101.91010
Buckdahn, Rainer; Cardaliaguet, Pierre; Rainer, Catherine
2004
Representation of equilibrium solutions to the table problem for growing sandpiles. Zbl 1084.35015
Cannarsa, Piermarco; Cardaliaguet, Pierre
2004
Existence and uniqueness of a Nash equilibrium feedback for a simple nonzero-sum differential game. Zbl 1084.91008
2003
Conditional essential suprema with applications. Zbl 1049.60003
Barron, E. N.; Cardaliaguet, P.; Jensen, R.
2003
Equilibria and strict equilibria of multivalued maps on noninvariant sets. Zbl 1099.54018
Cardaliaguet, Pierre; Gabor, Grzegorz; Quincampoix, Marc
2003
On the strict concavity of the harmonic radius in dimension $$N\geq 3$$. Zbl 1027.31003
Cardaliaguet, Pierre; Tahraoui, Rabah
2002
Some uniqueness results for Bernoulli interior free-boundary problems in convex domains. Zbl 1029.35227
Cardaliaguet, Pierre; Tahraoui, Rabah
2002
Equivalence between rank-one convexity and polyconvexity for isotropic sets of $${\mathbb R}^{2{\times}2}$$. I. Zbl 1004.49007
Cardaliaguet, Pierre; Tahraoui, Rabah
2002
Equivalence between rank-one convexity and polyconvexity for isotropic sets of $${\mathbb R}^{2{\times}2}$$. II. Zbl 1004.49008
Cardaliaguet, Pierre; Tahraoui, Rabah
2002
Differential games with state-constraints. Zbl 1057.91009
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
2002
Pursuit differential games with state constraints. Zbl 1140.91320
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
2001
A representation formula for the mean curvature motion. Zbl 1074.93037
Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M.
2001
Front propagation problems with nonlocal terms. II. Zbl 1002.35064
Cardaliaguet, Pierre
2001
On the approximation of front propagation problems with nonlocal terms. Zbl 0992.65097
Cardaliaguet, Pierre; Pasquignon, Denis
2001
On the strict concavity of the harmonic radius in dimension $$N\geqq 3$$. (Sur la stricte concavité du rayon harmonique en dimension $$N\geqq 3$$.) Zbl 0999.31001
Cardaliaguet, Pierre; Tahraoui, Rabah
2001
Numerical schemes for dicontinuous value functions of optimal control. Zbl 0988.49016
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
2000
Invariant solutions of differential games and Hamilton-Jacobi-Isaacs equations for time-measurable Hamiltonians. Zbl 0966.49021
2000
On front propagation problems with nonlocal terms. Zbl 1029.53081
Cardaliaguet, Pierre
2000
On the equivalence between rank-one convexity and polyconvexity for isotropic sets of $$\mathbb{R}^{2\times 2}$$. (Sur l’équivalence de la 1-rang convexité et de la polyconvexité des ensembles isotropiques de $$\mathbb{R}^{2\times 2}$$.) Zbl 1064.26005
Cardaliaguet, Pierre; Tahraoui, Rabah
2000
Radon-Nikodym theorem in $$L^\infty$$. Zbl 0984.28002
Barron, E. N.; Cardaliaguet, P.; Jensen, R. R.
2000
Extended Hardy-Littlewood inequalities and applications to the calculus of variations. Zbl 1004.49009
Cardaliaguet, Pierre; Tahraoui, Rabah
2000
Set-valued numerical analysis for optimal control and differential games. Zbl 0982.91014
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
1999
Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021
Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N.
1999
Extended Hardy-Littlewood inequality and applications to the calculus of variations. (Inégalité de Hardy-Littlewood généralisée et applications au calcul des variations.) Zbl 0943.49002
Cardaliaguet, Pierre; Tahraoui, Rabah
1999
Optimal times for constrained nonlinear control problems without local controllability. Zbl 0884.49002
Cardaliaguet, P.; Quincampoix, M.; Saint-Pierre, P.
1997
...and 8 more Documents
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Cited by 732 Authors

 53 Cardaliaguet, Pierre 32 Quincampoix, Marc 23 Gomes, Diogo Luís Aguiar 16 Cirant, Marco 15 Porretta, Alessio 13 Cannarsa, Piermarco 13 Cesaroni, Annalisa 13 Rainer, Catherine 11 Crasta, Graziano 10 Buckdahn, Rainer 10 Souganidis, Panagiotis E. 9 Averboukh, Yuriĭ Vladimirovich 9 Yu, Yifeng 8 El Hajj, Ahmad 8 Ferreira, Rita 8 Gensbittel, Fabien 8 Ley, Olivier 8 Tran Vinh Hung 7 Achdou, Yves 7 Li, Juan 7 Marigonda, Antonio 7 Monneau, Régis 7 Silva, Francisco J. 6 Bardi, Martino 6 Bensoussan, Alain 6 Bettiol, Piernicola 6 Dirr, Nicolas Peter 6 Gangbo, Wilfrid 6 Kumkov, Sergey S. 6 Laurière, Mathieu 6 Malusa, Annalisa 6 Marchi, Claudio 6 Novaga, Matteo 6 Nurbekyan, Levon 6 Saint-Pierre, Patrick 6 Santambrogio, Filippo 6 Serea, Oana-Silvia 5 Armstrong, Scott N. 5 Aubin, Jean-Pierre 5 Barles, Guy 5 Bressan, Alberto 5 Camilli, Fabio 5 Carmona, René A. 5 Cecchin, Alekos 5 Frankowska, Hélène 5 Gabor, Grzegorz 5 Jimenez, Chloé 5 Kolokoltsov, Vassili N. 5 Mannucci, Paola 5 Mészáros, Alpár Richárd 5 Mitake, Hiroyoshi 5 Patsko, Valerii S. 5 Voskanyan, Vardan K. 5 Xin, Jack X. 4 Bayraktar, Erhan 4 Bokanowski, Olivier 4 Cacace, Simone 4 Carlier, Guillaume 4 Delarue, François 4 Forcadel, Nicolas 4 Gao, Hongwei 4 Gloria, Antoine 4 Goffi, Alessandro 4 Goreac, Dan 4 Grün, Christine 4 Igbida, Noureddine 4 Kolpakova, Ekaterina A. 4 Lacker, Daniel 4 Lasry, Jean-Michel 4 Lions, Pierre-Louis 4 Lygeros, John 4 Monteillet, Aurélien 4 Mu, Rui 4 Oliu-Barton, Miquel 4 Pimentel, Edgard A. 4 Pogodaev, Nikolaĭ Il’ich 4 Seube, Nicolas 4 Świȩch, Andrzej 4 Tahraoui, Rabah 4 Tonon, Daniela 4 Vinter, Richard B. 4 Yilmaz, Atilla 4 Zidani, Hasnaa 3 Bagagiolo, Fabio 3 Bertucci, Charles 3 Caffarelli, Luis Ángel 3 Carlini, Elisabetta 3 Cavagnari, Giulia 3 Chambolle, Antonin 3 Cohen, Asaf 3 Croce, Gisella 3 Dragoni, Federica 3 Duerinckx, Mitia 3 Dweik, Samer 3 Falcone, Maurizio 3 Feleqi, Ermal 3 Figalli, Alessio 3 Fragalà, Ilaria 3 Gao, Yan 3 Ghoussoub, Nassif A. ...and 632 more Authors
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Cited in 168 Serials

 47 Dynamic Games and Applications 40 Journal of Differential Equations 38 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 32 SIAM Journal on Control and Optimization 29 Applied Mathematics and Optimization 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Archive for Rational Mechanics and Analysis 19 NoDEA. Nonlinear Differential Equations and Applications 18 Journal of Mathematical Analysis and Applications 18 Calculus of Variations and Partial Differential Equations 13 Communications in Partial Differential Equations 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Transactions of the American Mathematical Society 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Journal of Optimization Theory and Applications 11 SIAM Journal on Mathematical Analysis 11 Stochastic Processes and their Applications 9 International Journal of Game Theory 9 Mathematics of Operations Research 9 Minimax Theory and its Applications 8 Automatica 7 The Annals of Applied Probability 7 Journal of Dynamics and Games 6 Systems & Control Letters 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Discrete and Continuous Dynamical Systems 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications on Pure and Applied Mathematics 5 The Annals of Probability 5 Journal of Functional Analysis 5 Mathematische Annalen 5 Proceedings of the American Mathematical Society 5 SIAM Journal on Numerical Analysis 5 Set-Valued Analysis 4 Bulletin des Sciences Mathématiques 4 International Game Theory Review 4 Computational Management Science 4 Stochastics 4 Discrete and Continuous Dynamical Systems. Series S 4 Matematicheskaya Teoriya Igr i eë Prilozheniya 3 Communications in Mathematical Physics 3 Mathematics of Computation 3 Advances in Mathematics 3 Journal of Mathematical Economics 3 Numerische Mathematik 3 Journal of Scientific Computing 3 Numerical Algorithms 3 Automation and Remote Control 3 Electronic Journal of Probability 3 Quantitative Finance 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Nonlinear Analysis. Hybrid Systems 2 Advances in Applied Probability 2 International Journal of Control 2 Journal of Computational Physics 2 Journal of Engineering Mathematics 2 Journal of Statistical Physics 2 Nonlinearity 2 Rendiconti del Seminario Matematico della Università di Padova 2 Optimal Control Applications & Methods 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Probability Theory and Related Fields 2 Applied Mathematics Letters 2 Journal of Nonlinear Science 2 St. Petersburg Mathematical Journal 2 Journal of Convex Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Systems Science and Complexity 2 Milan Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Mathematics and Financial Economics 2 Optimization Letters 2 Advances in Calculus of Variations 2 Analysis & PDE 2 Set-Valued and Variational Analysis 2 Mathematical Control and Related Fields 2 Research in the Mathematical Sciences 2 Journal de l’École Polytechnique – Mathématiques 2 Probability, Uncertainty and Quantitative Risk 1 Computers & Mathematics with Applications 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Annales de l’Institut Fourier 1 Collectanea Mathematica 1 Duke Mathematical Journal 1 Information Sciences 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Ricerche di Matematica 1 Studies in Applied Mathematics ...and 68 more Serials
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Cited in 41 Fields

 325 Calculus of variations and optimal control; optimization (49-XX) 324 Partial differential equations (35-XX) 300 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 117 Probability theory and stochastic processes (60-XX) 111 Systems theory; control (93-XX) 50 Numerical analysis (65-XX) 38 Ordinary differential equations (34-XX) 36 Operations research, mathematical programming (90-XX) 30 Mechanics of deformable solids (74-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Fluid mechanics (76-XX) 20 Differential geometry (53-XX) 16 Operator theory (47-XX) 14 Mechanics of particles and systems (70-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Biology and other natural sciences (92-XX) 12 Measure and integration (28-XX) 11 Real functions (26-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Integral equations (45-XX) 7 Computer science (68-XX) 5 General topology (54-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functional analysis (46-XX) 3 Information and communication theory, circuits (94-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX)