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Cardaliaguet, Pierre

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Author ID: cardaliaguet.pierre Recent zbMATH articles by "Cardaliaguet, Pierre"
Published as: Cardaliaguet, P.; Cardaliaguet, Pierre
Documents Indexed: 119 Publications since 1992, including 4 Books
all top 5

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 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 Calculus of Variations and Partial Differential Equations
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 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 Transactions 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

Publications by Year

Citations contained in zbMATH

105 Publications have been cited 1,283 times in 649 Documents Cited by Year
Long time average of first order mean field games and weak KAM theory. Zbl 1314.91043
Cardaliaguet, P.
54
2013
Long time average of mean field games. Zbl 1270.35098
Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio
53
2012
Second order mean field games with degenerate diffusion and local coupling. Zbl 1344.49061
Cardaliaguet, Pierre; Graber, P. Jameson; Porretta, Alessio; Tonon, Daniela
45
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.
45
2013
Mean field games systems of first order. Zbl 1319.35273
Cardaliaguet, Pierre; Graber, P. Jameson
43
2015
The master equation and the convergence problem in mean field games. Zbl 1430.91002
Cardaliaguet, Pierre; Delarue, François; Lasry, Jean-Michel; Lions, Pierre-Louis
41
2019
Set-valued numerical analysis for optimal control and differential games. Zbl 0982.91014
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
36
1999
Nash equilibrium payoffs for nonzero-sum stochastic differential games. Zbl 1101.91010
Buckdahn, Rainer; Cardaliaguet, Pierre; Rainer, Catherine
33
2004
Some recent aspects of differential game theory. Zbl 1214.91013
Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M.
32
2011
Deterministic differential games under probability knowledge of initial condition. Zbl 1152.91358
Cardaliaguet, P.; Quincampoix, M.
32
2008
Stochastic differential games with asymmetric information. Zbl 1170.91308
Cardaliaguet, Pierre; Rainer, Catherine
31
2009
Weak solutions for first order mean field games with local coupling. Zbl 1329.49068
Cardaliaguet, Pierre
28
2015
Differential games with asymmetric information. Zbl 1293.91020
Cardaliaguet, P.
28
2007
Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148
Alvarez, O.; Cardaliaguet, P.; Monneau, R.
25
2005
Pursuit differential games with state constraints. Zbl 1140.91320
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
25
2001
On a continuous-time game with incomplete information. Zbl 1232.91008
Cardaliaguet, Pierre; Rainer, Catherine
24
2009
Representation of equilibrium solutions to the table problem for growing sandpiles. Zbl 1084.35015
Cannarsa, Piermarco; Cardaliaguet, Pierre
24
2004
Optimal times for constrained nonlinear control problems without local controllability. Zbl 0884.49002
Cardaliaguet, P.; Quincampoix, M.; Saint-Pierre, P.
23
1997
Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. Zbl 1286.35023
Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E.
21
2014
First order mean field games with density constraints: pressure equals price. Zbl 1356.35257
Cardaliaguet, Pierre; Mészáros, Alpár R.; Santambrogio, Filippo
19
2016
Geodesics for a class of distances in the space of probability measures. Zbl 1279.49029
Cardaliaguet, P.; Carlier, G.; Nazaret, B.
18
2013
A continuous time approach for the asymptotic value in two-person zero-sum repeated games. Zbl 1261.91005
Cardaliaguet, Pierre; Laraki, Rida; Sorin, Sylvain
18
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
17
2012
A double obstacle problem arising in differential game theory. Zbl 1173.49033
Cardaliaguet, Pierre
17
2009
A differential game with two players and one target. Zbl 0853.90136
Cardaliaguet, Pierre
17
1996
Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions. Zbl 1392.35031
Armstrong, Scott; Cardaliaguet, Pierre
16
2018
A discussion about the homogenization of moving interfaces. Zbl 1180.35070
Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E.
16
2009
Global existence results and uniqueness for dislocation equations. Zbl 1158.49029
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis
16
2008
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.
16
2005
Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
15
2013
Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002
Cardaliaguet, P.; Nolen, J.; Souganidis, P. E.
15
2011
Learning in mean field games: the fictitious play. Zbl 1365.35183
Cardaliaguet, Pierre; Hadikhanloo, Saeed
14
2017
Differential games through viability theory: old and recent results. Zbl 1152.91360
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
14
2007
Zero-sum state constrained differential games: Existence of value for Bolza problem. Zbl 1103.49019
Bettiol, Piernicola; Cardaliaguet, Pierre; Quincampoix, Marc
14
2006
Existence and uniqueness of a Nash equilibrium feedback for a simple nonzero-sum differential game. Zbl 1084.91008
Cardaliaguet, Pierre; Plaskacz, Slawomir
14
2003
On the strict concavity of the harmonic radius in dimension \(N\geq 3\). Zbl 1027.31003
Cardaliaguet, Pierre; Tahraoui, Rabah
14
2002
The convergence problem in mean field games with local coupling. Zbl 1431.49043
Cardaliaguet, P.
13
2017
Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations. Zbl 1320.35032
Armstrong, Scott N.; Cardaliaguet, Pierre
12
2015
Conditional essential suprema with applications. Zbl 1049.60003
Barron, E. N.; Cardaliaguet, P.; Jensen, R.
12
2003
A representation formula for the mean curvature motion. Zbl 1074.93037
Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M.
12
2001
Pure and random strategies in differential game with incomplete informations. Zbl 1304.49075
Cardaliaguet, Pierre; Jimenez, Chloé; Quincampoix, Marc
11
2014
Games with incomplete information in continuous time and for continuous types. Zbl 1273.91020
Cardaliaguet, Pierre; Rainer, Catherine
11
2012
Numerical schemes for dicontinuous value functions of optimal control. Zbl 0988.49016
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
11
2000
Ergodicity of Hamilton-Jacobi equations with a noncoercive nonconvex Hamiltonian in \(\mathbb R^2/\mathbb Z^2\). Zbl 1201.35089
Cardaliaguet, Pierre
10
2010
On a differential model for growing sandpiles with non-regular sources. Zbl 1190.35131
Cannarsa, Piermarco; Cardaliaguet, Pierre; Sinestrari, Carlo
10
2009
Invariant solutions of differential games and Hamilton-Jacobi-Isaacs equations for time-measurable Hamiltonians. Zbl 0966.49021
Cardaliaguet, Pierre; Plaskacz, Slawomir
10
2000
Some algorithms for differential games with two players and one target. Zbl 0821.90145
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
10
1994
Stable solutions in potential mean field game systems. Zbl 1390.35365
Briani, Ariela; Cardaliaguet, Pierre
9
2018
On front propagation problems with nonlocal terms. Zbl 1029.53081
Cardaliaguet, Pierre
9
2000
Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021
Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N.
9
1999
Long time behavior of the master equation in mean field game theory. Zbl 1428.35607
Cardaliaguet, Pierre; Porretta, Alessio
8
2019
Markov games with frequent actions and incomplete information – the limit case. Zbl 1347.91049
Cardaliaguet, Pierre; Rainer, Catherine; Rosenberg, Dinah; Vieille, Nicolas
8
2016
Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations. Zbl 1206.35052
Cannarsa, Piermarco; Cardaliaguet, Pierre
8
2010
Uniqueness results for nonlocal Hamilton-Jacobi equations. Zbl 1169.49028
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
8
2009
Front propagation problems with nonlocal terms. II. Zbl 1002.35064
Cardaliaguet, Pierre
8
2001
Mean field game of controls and an application to trade crowding. Zbl 1397.91084
Cardaliaguet, Pierre; Lehalle, Charles-Albert
7
2018
Pathwise strategies for stochastic differential games with an erratum to “Stochastic differential games with asymmetric information”. Zbl 1272.93127
Cardaliaguet, P.; Rainer, C.
7
2013
Numerical approximation and optimal strategies for differential games with lack of information on one side. Zbl 1179.91037
Cardaliaguet, Pierre
7
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
7
2009
Some flows in shape optimization. Zbl 1157.35500
Cardaliaguet, Pierre; Ley, Olivier
7
2007
Some uniqueness results for Bernoulli interior free-boundary problems in convex domains. Zbl 1029.35227
Cardaliaguet, Pierre; Tahraoui, Rabah
7
2002
Mean field games: the master equation and the mean field limit. Zbl 1358.35199
Cardaliaguet, Pierre
6
2016
A differential game with a blind player. Zbl 1259.49062
Cardaliaguet, Pierre; Souquière, Anne
6
2012
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
6
2011
A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable. Zbl 1175.35030
Cardaliaguet, Pierre
6
2009
Perimeter estimates for reachable sets of control systems. Zbl 1114.93018
Cannarsa, Piermarco; Cardaliaguet, Pierre
6
2006
Sobolev regularity for the first order Hamilton-Jacobi equation. Zbl 1326.49060
Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela
5
2015
Representations formulas for some differential games with asymmetric information. Zbl 1146.91010
Cardaliaguet, P.
5
2008
On the energy of a flow arising in shape optimization. Zbl 1159.35076
Cardaliaguet, Pierre; Ley, Olivier
5
2008
On the instability of the feedback equilibrium payoff in a nonzero-sum differential game on the line. Zbl 1152.91359
Cardaliaguet, Pierre
5
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.
5
2007
Equilibria and strict equilibria of multivalued maps on noninvariant sets. Zbl 1099.54018
Cardaliaguet, Pierre; Gabor, Grzegorz; Quincampoix, Marc
5
2003
Optimal times for constrained controlled systems without local controllability. Zbl 0799.49017
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
5
1994
Sufficient conditions for non-emptiness of the viability kernel. Zbl 0761.34016
Cardaliaguet, Pierre
5
1992
On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations. Zbl 1368.35025
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
4
2017
Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012
Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R.
4
2007
Supremal representation of \(L^\infty\) functionals. Zbl 1091.49012
Cardaliaguet, Pierre; Prinari, Francesca
4
2005
On the equivalence between rank-one convexity and polyconvexity for isotropic sets of \(\mathbb{R}^{2\times 2}\). Zbl 1064.26005
Cardaliaguet, Pierre; Tahraoui, Rabah
4
2000
Remarks on Nash equilibria in mean field game models with a major player. Zbl 1446.35213
Cardaliaguet, P.; Cirant, M.; Porretta, A.
3
2020
On the convergence of open loop Nash equilibria in mean field games with a local coupling. Zbl 1428.35606
Cardaliaguet, Pierre
3
2019
A segregation problem in multi-population mean field games. Zbl 1417.91110
Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela
3
2017
Viscosity solutions of increasing flows of sets. Application of the Hele-Shaw problem for power-law fluids. Zbl 1114.35149
Cardaliaguet, Pierre; Rouy, Elisabeth
3
2006
Equivalence between rank-one convexity and polyconvexity for isotropic sets of \({\mathbb R}^{2{\times}2}\). I. Zbl 1004.49007
Cardaliaguet, Pierre; Tahraoui, Rabah
3
2002
On the approximation of front propagation problems with nonlocal terms. Zbl 0992.65097
Cardaliaguet, Pierre; Pasquignon, Denis
3
2001
Radon-Nikodym theorem in \(L^\infty\). Zbl 0984.28002
Barron, E. N.; Cardaliaguet, P.; Jensen, R. R.
3
2000
Nonsmooth semipermeable Barriers, Isaacs’ equation, and application to a differential game with one target and two players. Zbl 0907.90292
Cardaliaguet, P.
3
1997
An example of multiple mean field limits in ergodic differential games. Zbl 1434.91010
Cardaliaguet, Pierre; Rainer, Catherine
2
2020
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
2
2019
Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations. Zbl 1320.35040
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
2
2015
Regularity properties of attainable sets under state constraints. Zbl 1206.49038
Cannarsa, P.; Castelpietra, M.; Cardaliaguet, P.
2
2008
Nonfattening condition for the generalized evolution by mean curvature and applications. Zbl 1154.53041
Biton, Samuel; Cardaliaguet, Pierre; Ley, Olivier
2
2008
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
2
2006
Differential games with state-constraints. Zbl 1057.91009
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
2
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
2
2002
Viability and invariance for differential games with applications to Hamilton-Jacobi-Isaacs equations. Zbl 0856.90150
Cardaliaguet, Pierre; Plaskacz, Sławomir
2
1996
Qualitative and quantitative differential games with state constraints. Zbl 0842.90138
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
2
1995
On the (in)efficiency of MFG equilibria. Zbl 1422.91079
Cardaliaguet, Pierre; Rainer, Catherine
1
2019
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 (ed.); Cressman, Ross (ed.)
1
2012
Information issues in differential game theory. Zbl 1357.91006
Cardaliaguet, Pierre
1
2012
Viscosity solutions for a polymer crystal growth model. Zbl 1246.49026
Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
1
2011
Remarks on Nash equilibria in mean field game models with a major player. Zbl 1446.35213
Cardaliaguet, P.; Cirant, M.; Porretta, A.
3
2020
An example of multiple mean field limits in ergodic differential games. Zbl 1434.91010
Cardaliaguet, Pierre; Rainer, Catherine
2
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
41
2019
Long time behavior of the master equation in mean field game theory. Zbl 1428.35607
Cardaliaguet, Pierre; Porretta, Alessio
8
2019
On the convergence of open loop Nash equilibria in mean field games with a local coupling. Zbl 1428.35606
Cardaliaguet, Pierre
3
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
2
2019
On the (in)efficiency of MFG equilibria. Zbl 1422.91079
Cardaliaguet, Pierre; Rainer, Catherine
1
2019
Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions. Zbl 1392.35031
Armstrong, Scott; Cardaliaguet, Pierre
16
2018
Stable solutions in potential mean field game systems. Zbl 1390.35365
Briani, Ariela; Cardaliaguet, Pierre
9
2018
Mean field game of controls and an application to trade crowding. Zbl 1397.91084
Cardaliaguet, Pierre; Lehalle, Charles-Albert
7
2018
Learning in mean field games: the fictitious play. Zbl 1365.35183
Cardaliaguet, Pierre; Hadikhanloo, Saeed
14
2017
The convergence problem in mean field games with local coupling. Zbl 1431.49043
Cardaliaguet, P.
13
2017
On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations. Zbl 1368.35025
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
4
2017
A segregation problem in multi-population mean field games. Zbl 1417.91110
Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela
3
2017
First order mean field games with density constraints: pressure equals price. Zbl 1356.35257
Cardaliaguet, Pierre; Mészáros, Alpár R.; Santambrogio, Filippo
19
2016
Markov games with frequent actions and incomplete information – the limit case. Zbl 1347.91049
Cardaliaguet, Pierre; Rainer, Catherine; Rosenberg, Dinah; Vieille, Nicolas
8
2016
Mean field games: the master equation and the mean field limit. Zbl 1358.35199
Cardaliaguet, Pierre
6
2016
Second order mean field games with degenerate diffusion and local coupling. Zbl 1344.49061
Cardaliaguet, Pierre; Graber, P. Jameson; Porretta, Alessio; Tonon, Daniela
45
2015
Mean field games systems of first order. Zbl 1319.35273
Cardaliaguet, Pierre; Graber, P. Jameson
43
2015
Weak solutions for first order mean field games with local coupling. Zbl 1329.49068
Cardaliaguet, Pierre
28
2015
Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations. Zbl 1320.35032
Armstrong, Scott N.; Cardaliaguet, Pierre
12
2015
Sobolev regularity for the first order Hamilton-Jacobi equation. Zbl 1326.49060
Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela
5
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.
2
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.
21
2014
Pure and random strategies in differential game with incomplete informations. Zbl 1304.49075
Cardaliaguet, Pierre; Jimenez, Chloé; Quincampoix, Marc
11
2014
Long time average of first order mean field games and weak KAM theory. Zbl 1314.91043
Cardaliaguet, P.
54
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.
45
2013
Geodesics for a class of distances in the space of probability measures. Zbl 1279.49029
Cardaliaguet, P.; Carlier, G.; Nazaret, B.
18
2013
Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
15
2013
Pathwise strategies for stochastic differential games with an erratum to “Stochastic differential games with asymmetric information”. Zbl 1272.93127
Cardaliaguet, P.; Rainer, C.
7
2013
Long time average of mean field games. Zbl 1270.35098
Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio
53
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
18
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
17
2012
Games with incomplete information in continuous time and for continuous types. Zbl 1273.91020
Cardaliaguet, Pierre; Rainer, Catherine
11
2012
A differential game with a blind player. Zbl 1259.49062
Cardaliaguet, Pierre; Souquière, Anne
6
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 (ed.); Cressman, Ross (ed.)
1
2012
Information issues in differential game theory. Zbl 1357.91006
Cardaliaguet, Pierre
1
2012
Some recent aspects of differential game theory. Zbl 1214.91013
Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M.
32
2011
Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002
Cardaliaguet, P.; Nolen, J.; Souganidis, P. E.
15
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
6
2011
Viscosity solutions for a polymer crystal growth model. Zbl 1246.49026
Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
1
2011
Optimal transport with convex obstacle. Zbl 1214.49041
Cardaliaguet, Pierre; Jimenez, Chloé
1
2011
Ergodicity of Hamilton-Jacobi equations with a noncoercive nonconvex Hamiltonian in \(\mathbb R^2/\mathbb Z^2\). Zbl 1201.35089
Cardaliaguet, Pierre
10
2010
Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations. Zbl 1206.35052
Cannarsa, Piermarco; Cardaliaguet, Pierre
8
2010
Stochastic differential games with asymmetric information. Zbl 1170.91308
Cardaliaguet, Pierre; Rainer, Catherine
31
2009
On a continuous-time game with incomplete information. Zbl 1232.91008
Cardaliaguet, Pierre; Rainer, Catherine
24
2009
A double obstacle problem arising in differential game theory. Zbl 1173.49033
Cardaliaguet, Pierre
17
2009
A discussion about the homogenization of moving interfaces. Zbl 1180.35070
Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E.
16
2009
On a differential model for growing sandpiles with non-regular sources. Zbl 1190.35131
Cannarsa, Piermarco; Cardaliaguet, Pierre; Sinestrari, Carlo
10
2009
Uniqueness results for nonlocal Hamilton-Jacobi equations. Zbl 1169.49028
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
8
2009
Numerical approximation and optimal strategies for differential games with lack of information on one side. Zbl 1179.91037
Cardaliaguet, Pierre
7
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
7
2009
A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable. Zbl 1175.35030
Cardaliaguet, Pierre
6
2009
Deterministic differential games under probability knowledge of initial condition. Zbl 1152.91358
Cardaliaguet, P.; Quincampoix, M.
32
2008
Global existence results and uniqueness for dislocation equations. Zbl 1158.49029
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis
16
2008
Representations formulas for some differential games with asymmetric information. Zbl 1146.91010
Cardaliaguet, P.
5
2008
On the energy of a flow arising in shape optimization. Zbl 1159.35076
Cardaliaguet, Pierre; Ley, Olivier
5
2008
Regularity properties of attainable sets under state constraints. Zbl 1206.49038
Cannarsa, P.; Castelpietra, M.; Cardaliaguet, P.
2
2008
Nonfattening condition for the generalized evolution by mean curvature and applications. Zbl 1154.53041
Biton, Samuel; Cardaliaguet, Pierre; Ley, Olivier
2
2008
Differential games with asymmetric information. Zbl 1293.91020
Cardaliaguet, P.
28
2007
Differential games through viability theory: old and recent results. Zbl 1152.91360
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
14
2007
Some flows in shape optimization. Zbl 1157.35500
Cardaliaguet, Pierre; Ley, Olivier
7
2007
On the instability of the feedback equilibrium payoff in a nonzero-sum differential game on the line. Zbl 1152.91359
Cardaliaguet, Pierre
5
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.
5
2007
Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012
Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R.
4
2007
Zero-sum state constrained differential games: Existence of value for Bolza problem. Zbl 1103.49019
Bettiol, Piernicola; Cardaliaguet, Pierre; Quincampoix, Marc
14
2006
Perimeter estimates for reachable sets of control systems. Zbl 1114.93018
Cannarsa, Piermarco; Cardaliaguet, Pierre
6
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
3
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
2
2006
Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148
Alvarez, O.; Cardaliaguet, P.; Monneau, R.
25
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.
16
2005
Supremal representation of \(L^\infty\) functionals. Zbl 1091.49012
Cardaliaguet, Pierre; Prinari, Francesca
4
2005
Nash equilibrium payoffs for nonzero-sum stochastic differential games. Zbl 1101.91010
Buckdahn, Rainer; Cardaliaguet, Pierre; Rainer, Catherine
33
2004
Representation of equilibrium solutions to the table problem for growing sandpiles. Zbl 1084.35015
Cannarsa, Piermarco; Cardaliaguet, Pierre
24
2004
Existence and uniqueness of a Nash equilibrium feedback for a simple nonzero-sum differential game. Zbl 1084.91008
Cardaliaguet, Pierre; Plaskacz, Slawomir
14
2003
Conditional essential suprema with applications. Zbl 1049.60003
Barron, E. N.; Cardaliaguet, P.; Jensen, R.
12
2003
Equilibria and strict equilibria of multivalued maps on noninvariant sets. Zbl 1099.54018
Cardaliaguet, Pierre; Gabor, Grzegorz; Quincampoix, Marc
5
2003
On the strict concavity of the harmonic radius in dimension \(N\geq 3\). Zbl 1027.31003
Cardaliaguet, Pierre; Tahraoui, Rabah
14
2002
Some uniqueness results for Bernoulli interior free-boundary problems in convex domains. Zbl 1029.35227
Cardaliaguet, Pierre; Tahraoui, Rabah
7
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
3
2002
Differential games with state-constraints. Zbl 1057.91009
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
2
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
2
2002
Pursuit differential games with state constraints. Zbl 1140.91320
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
25
2001
A representation formula for the mean curvature motion. Zbl 1074.93037
Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M.
12
2001
Front propagation problems with nonlocal terms. II. Zbl 1002.35064
Cardaliaguet, Pierre
8
2001
On the approximation of front propagation problems with nonlocal terms. Zbl 0992.65097
Cardaliaguet, Pierre; Pasquignon, Denis
3
2001
On the strict concavity of the harmonic radius in dimension \(N\geqq 3\). Zbl 0999.31001
Cardaliaguet, Pierre; Tahraoui, Rabah
1
2001
Numerical schemes for dicontinuous value functions of optimal control. Zbl 0988.49016
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
11
2000
Invariant solutions of differential games and Hamilton-Jacobi-Isaacs equations for time-measurable Hamiltonians. Zbl 0966.49021
Cardaliaguet, Pierre; Plaskacz, Slawomir
10
2000
On front propagation problems with nonlocal terms. Zbl 1029.53081
Cardaliaguet, Pierre
9
2000
On the equivalence between rank-one convexity and polyconvexity for isotropic sets of \(\mathbb{R}^{2\times 2}\). Zbl 1064.26005
Cardaliaguet, Pierre; Tahraoui, Rabah
4
2000
Radon-Nikodym theorem in \(L^\infty\). Zbl 0984.28002
Barron, E. N.; Cardaliaguet, P.; Jensen, R. R.
3
2000
Extended Hardy-Littlewood inequalities and applications to the calculus of variations. Zbl 1004.49009
Cardaliaguet, Pierre; Tahraoui, Rabah
1
2000
Set-valued numerical analysis for optimal control and differential games. Zbl 0982.91014
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
36
1999
Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021
Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N.
9
1999
Extended Hardy-Littlewood inequality and applications to the calculus of variations. Zbl 0943.49002
Cardaliaguet, Pierre; Tahraoui, Rabah
1
1999
Optimal times for constrained nonlinear control problems without local controllability. Zbl 0884.49002
Cardaliaguet, P.; Quincampoix, M.; Saint-Pierre, P.
23
1997
Nonsmooth semipermeable Barriers, Isaacs’ equation, and application to a differential game with one target and two players. Zbl 0907.90292
Cardaliaguet, P.
3
1997
On the regularity of semipermeable surfaces in control theory with application to the optimal exit-time problem. II. Zbl 0889.49003
Cardaliaguet, Pierre
1
1997
A differential game with two players and one target. Zbl 0853.90136
Cardaliaguet, Pierre
17
1996
...and 5 more Documents
all top 5

Cited by 713 Authors

52 Cardaliaguet, Pierre
31 Quincampoix, Marc
21 Gomes, Diogo Luís Aguiar
14 Porretta, Alessio
13 Cirant, Marco
13 Rainer, Catherine
12 Cannarsa, Piermarco
11 Crasta, Graziano
11 Souganidis, Panagiotis E.
10 Buckdahn, Rainer
10 Cesaroni, Annalisa
9 Yu, Yifeng
8 Averboukh, Yuriĭ Vladimirovich
8 Gensbittel, Fabien
8 Jameson Graber, P.
8 Ley, Olivier
8 Li, Juan
8 Tran Vinh Hung
7 Achdou, Yves
7 El Hajj, Ahmad
7 Monneau, Régis
6 Bardi, Martino
6 Barles, Guy
6 Bettiol, Piernicola
6 Dirr, Nicolas Peter
6 Ferreira, Rita
6 Gangbo, Wilfrid
6 Kumkov, Sergey S.
6 Malusa, Annalisa
6 Marchi, Claudio
6 Marigonda, Antonio
6 Novaga, Matteo
6 Nurbekyan, Levon
6 Saint-Pierre, Patrick
6 Santambrogio, Filippo
6 Serea, Oana-Silvia
6 Silva, Francisco J.
5 Armstrong, Scott N.
5 Aubin, Jean-Pierre
5 Bensoussan, Alain
5 Bressan, Alberto
5 Frankowska, Hélène
5 Gabor, Grzegorz
5 Jimenez, Chloé
5 Kolokoltsov, Vassili N.
5 Laurière, Mathieu
5 Mannucci, Paola
5 Mészáros, Alpár Richárd
5 Mitake, Hiroyoshi
5 Patsko, Valerii S.
5 Pimentel, Edgard A.
5 Voskanyan, Vardan K.
5 Xin, Jack X.
4 Bayraktar, Erhan
4 Bokanowski, Olivier
4 Camilli, Fabio
4 Carlier, Guillaume
4 Cecchin, Alekos
4 Forcadel, Nicolas
4 Gao, Hongwei
4 Gloria, Antoine
4 Goreac, Dan
4 Grün, Christine
4 Hermosilla, Cristopher
4 Igbida, Noureddine
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 Pogodaev, Nikolaĭ Il’ich
4 Seube, Nicolas
4 Świȩch, Andrzej
4 Tahraoui, Rabah
4 Tonon, Daniela
4 Vinter, Richard B.
4 Zidani, Hasnaa
3 Bagagiolo, Fabio
3 Cacace, Simone
3 Caffarelli, Luis Ángel
3 Carlini, Elisabetta
3 Carmona, René A.
3 Cavagnari, Giulia
3 Chambolle, Antonin
3 Cohen, Asaf
3 Croce, Gisella
3 Delarue, François
3 Dragoni, Federica
3 Duerinckx, Mitia
3 Falcone, Maurizio
3 Feleqi, Ermal
3 Figalli, Alessio
3 Fischer, Markus
3 Fragalà, Ilaria
3 Gao, Yan
3 Goffi, Alessandro
3 Hamadene, Saïd
3 Huang, Minyi
...and 613 more Authors
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Cited in 163 Serials

47 Dynamic Games and Applications
39 Journal of Differential Equations
31 SIAM Journal on Control and Optimization
31 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
25 Applied Mathematics and Optimization
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Archive for Rational Mechanics and Analysis
18 Journal of Mathematical Analysis and Applications
16 Calculus of Variations and Partial Differential Equations
16 NoDEA. Nonlinear Differential Equations and Applications
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Communications in Partial Differential Equations
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 SIAM Journal on Mathematical Analysis
11 Stochastic Processes and their Applications
10 Transactions of the American Mathematical Society
9 Journal of Optimization Theory and Applications
9 Minimax Theory and its Applications
8 Automatica
8 International Journal of Game Theory
8 Mathematics of Operations Research
7 The Annals of Applied Probability
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Journal of Dynamics and Games
6 Systems & Control Letters
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Communications on Pure and Applied Mathematics
5 Journal of Functional Analysis
5 Mathematische Annalen
5 Proceedings of the American Mathematical Society
5 Set-Valued Analysis
5 Discrete and Continuous Dynamical Systems
4 The Annals of Probability
4 SIAM Journal on Numerical 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 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 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 Numerical Algorithms
2 Automation and Remote Control
2 St. Petersburg Mathematical Journal
2 Journal of Convex Analysis
2 Electronic Journal of Probability
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
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 Probability, Uncertainty and Quantitative Risk
1 Computers & Mathematics with Applications
1 Journal of Applied Mathematics and Mechanics
1 Journal of the Franklin Institute
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
1 Theoretical Computer Science
1 Zeitschrift für Analysis und ihre Anwendungen
1 Mathematical Social Sciences
1 Insurance Mathematics & Economics
1 Operations Research Letters
1 Stochastic Analysis and Applications
1 Physica D
...and 63 more Serials
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Cited in 42 Fields

308 Calculus of variations and optimal control; optimization (49-XX)
298 Partial differential equations (35-XX)
281 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
105 Systems theory; control (93-XX)
103 Probability theory and stochastic processes (60-XX)
47 Numerical analysis (65-XX)
38 Ordinary differential equations (34-XX)
33 Operations research, mathematical programming (90-XX)
29 Mechanics of deformable solids (74-XX)
22 Fluid mechanics (76-XX)
21 Dynamical systems and ergodic theory (37-XX)
18 Differential geometry (53-XX)
15 Operator theory (47-XX)
14 Biology and other natural sciences (92-XX)
12 Real functions (26-XX)
11 Measure and integration (28-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Mechanics of particles and systems (70-XX)
10 Classical thermodynamics, heat transfer (80-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Computer science (68-XX)
6 Integral equations (45-XX)
5 Convex and discrete geometry (52-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 Optics, electromagnetic theory (78-XX)
3 Information and communication theory, circuits (94-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Difference and functional equations (39-XX)
2 Functional analysis (46-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)
1
1 Quantum theory (81-XX)
1 Mathematics education (97-XX)

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