Curriculum vitae

Lions Pierre-Louis

Professeur au Collège de France
CEREMADE

lionsping@ceremade.dauphinepong.fr
Bureau : B626

Dernières publications

Articles

Bertucci C., Lasry J., Lions P. (2019), Some remarks on Mean Field Games, Communications in Partial Differential Equations, vol. 44, n°3, p. 205-227

Friz P., Gassiat P., Lions P-L., Souganidis P. (2017), Eikonal equations and pathwise solutions to fully non-linear SPDEs, Stochastics and Partial Differential Equations: Analysis and Computations, vol. 5, n°2, p. 256-277

Achdou Y., Giraud P-N., Lasry J-M., Lions P-L. (2016), A Long-Term Mathematical Model for Mining Industries, Applied Mathematics and Optimization, vol. 74, n°3, p. 579–618

Blanc X., Le Bris C., Lions P-L. (2015), Local profiles and elliptic problems at different scales with defects, Comptes rendus. Mathématique, vol. 333, n°3, p. 203-208

Achdou Y., Buera F., Lasry J-M., Lions P-L., Moll B. (2014), Partial differential equation models in macroeconomics, Philosophical Transactions. Physical, Mathematical and Engineering Sciences, vol. 372

Porretta A., Lions P-L., Lasry J-M., Cardaliaguet P. (2013), Long Time Average of Mean Field Games with a Nonlocal Coupling, SIAM Journal on Control and Optimization, vol. 51, n°5, p. 3558–3591

Perthame B., Souganidis P., Lions P-L. (2013), Scalar conservation laws with rough (stochastic) fluxes, Stochastics and Partial Differential Equations: Analysis and Computations, vol. 1, n°4, p. 664-686

Blanc X., Le Bris C., Lions P-L. (2012), A Possible Homogenization Approach for the Numerical Simulation of Periodic Microstructures with Defects, Milan Journal of Mathematics, vol. 80, n°2, p. 351-367

Lasry J-M., Porretta A., Lions P-L., Cardaliaguet P. (2012), Long time average of mean field games, Networks and Heterogeneous Media, vol. 7, n°2, p. 279-301

Lions P-L., Le Bris C., Blanc X. (2012), From the Newton equation to the wave equation in some simple cases, Networks and Heterogeneous Media, vol. 7, n°1, p. 1-41

Lions P-L., Souganidis P. (2010), Stochastic homogenization of Hamilton-Jacobi and "Viscous"-Hamilton-Jacobi equations with convex, Communications in Mathematical Sciences, vol. 8, n°2, p. 627-637

Cardaliaguet P., Lions P-L., Souganidis P. (2009), A discussion about the homogenization of moving interfaces, Journal de mathématiques pures et appliquées, vol. 91, n°4, p. 339–363

Lions P-L., Cancès E., Le Bris C. (2008), Molecular simulation and related topics: some open mathematical problems, Nonlinearity, vol. 21, n°9, p. 165-176

Le Bris C., Lions P-L. (2008), Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients, Communications in Partial Differential Equations, vol. 33, n°7, p. 1272-1317

Lasry J-M., Lions P-L. (2007), Instantaneous self-fulfilling of long-term prophecies on the probabilistic distribution of financial asset values, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 24, n°3, p. 361-368

Masmoudi N., Lions P-L. (2007), Global existence of weak solutions to some micro-macro models, Comptes rendus. Mathématique, vol. 345, n°1, p. 15-20

Lions P-L. (2007), Preface ((Special Issue on Molecular Modelling), Mathematical modelling and numerical analysis, vol. 41, n°2, p. 187-188

Le Bris C., Lions P-L., Blanc X. (2007), Stochastic homogenization and random lattices, Journal de mathématiques pures et appliquées, vol. 88, n°1, p. 34-63

Lasry J-M., Lions P-L. (2007), Mean Field Games, Japanese Journal of Mathematics, vol. 2, n°1, p. 229-260

Lions P-L., Musiela M. (2007), Correlations and bounds for stochastic volatility models, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 24, n°1, p. 1-16

Le Bris C., Blanc X., Lions P-L. (2007), Atomistic to Continuum limits for computational materials science, Mathematical modelling and numerical analysis, vol. 41, n°2, p. 391-426

Lasry J-M., Lions P-L. (2007), Large investor trading impacts on volatility, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 24, n°2, p. 311-323

Blanc X., Le Bris C., Lions P-L. (2007), The energy of some microscopic stochastic lattices, Archive for Rational Mechanics and Analysis, vol. 184, n°2, p. 303-339

Hauray M., Le Bris C., Lions P-L. (2007), Deux remarques sur les flots généralisés d'équations différentielles ordinaires, Comptes rendus. Mathématique, vol. 344, n°12, p. 759-764

Lions P-L., Blanc X., Le Bris C. (2006), Du discret au continu pour des modèles de réseaux aléatoires d'atomes, Comptes rendus. Mathématique, vol. 342, n°8, p. 627-633

Blanc X., Lions P-L., Le Bris C. (2006), Une variante de la théorie de l'homogénéisation stochastique des opérateurs elliptiques, Comptes rendus. Mathématique, vol. 343, n°11-12, p. 717-724

Musiela M., Lions P-L. (2006), Some Properties of Diffusion Processes with Singular Coefficients, Communications in Applied Analysis, vol. 10, n°1, p. 109-126

Lions P-L., Lasry J-M. (2006), Towards a self-consistent theory of volatility, Journal de mathématiques pures et appliquées, vol. 86, n°6, p. 541-551

Lions P-L., Lasry J-M. (2006), Jeux à champ moyen. II – Horizon fini et contrôle optimal, Comptes rendus. Mathématique, vol. 343, n°10, p. 679-684

Lions P-L., Lasry J-M. (2006), Jeux à champ moyen. I – Le cas stationnaire, Comptes rendus. Mathématique, vol. 343, n°9, p. 619-625

Musiela M., Lions P-L. (2006), Convexity of solutions of parabolic equations, Comptes rendus. Mathématique, vol. 342, n°12, p. 915-921

Lions P-L., Souganidis P. (2005), Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 22, n°5, p. 667-677

Le Bris C., Lions P-L. (2005), From atoms to crystals: a mathematical journey, Bulletin of the American Mathematical Society, n°42, p. 291-363

Lions P-L., Gallagher I., Gallay T. (2005), On the uniqueness of the solution of the two-dimensional Navier–Stokes equation with a Dirac mass as initial vorticity, Mathematische Nachrichten, vol. 278, n°14, p. 1665–1672

Lions P-L., Le Bris C. (2004), Renormalized solutions of some transport equations with partially W 1,1 velocities and applications, Annali di Matematica Pura ed Applicata, vol. 183, n°1, p. 97-130

Souganidis P., Lions P-L. (2003), Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting, Communications on Pure and Applied Mathematics, vol. 56, n°10, p. 1501-1524

Catto I., Lions P-L., Le Bris C. (2002), On some periodic Hartree-type models for crystals, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 19, n°2, p. 143-190

Blanc X., Le Bris C., Lions P-L. (2002), From Molecular Models to Continuum Mechanics, Archive for Rational Mechanics and Analysis, vol. 164, n°4, p. 341-381

Mas-Gallic S., Lions P-L. (2001), Une méthode particulaire déterministe pour des équations diffusives non linéaires, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 332, n°4, p. 369-376

Lions P-L., Lasry J-M., Lebuchoux J., Fournié E. (2001), Applications of Malliavin calculus to Monte-Carlo methods in finance. II, Finance and Stochastics, vol. 5, n°2, p. 201-236

Le Bris C., Catto I., Lions P-L. (2001), On the thermodynamic limit for Hartree–Fock type models, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 18, n°6, p. 687-760

Lions P-L., Arisawa M., Ishii H. (2000), A characterization of the existence of solutions for Hamilton—Jacobi equations in ergodic control problems with applications, Applied Mathematics and Optimization, vol. 42, n°1, p. 35-50

Lions P-L., Souganidis P. (2000), Fully nonlinear stochastic PDE with semilinear stochastic dependence, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 331, n°8, p. 617-624

Lasry J-M., Lions P-L. (2000), Une classe nouvelle de problèmes singuliers de contrôle stochastique, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 331, n°11, p. 879-885

Lions P-L., Masmoudi N. (2000), Global Solutions for Some Oldroyd Models of Non Newtonian Flows, Chinese Annals of Mathematics. Series B, vol. 21, n°2, p. 131-146

Lions P-L., Alvino A., Matarasso S., Rombetti G. (1999), Comparison results for solutions of elliptic problems via symmetrization, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 16, n°2, p. 167-188

Lions P-L., Touzi N., Lebuchoux J., Fournié E., Lasry J-M. (1999), Applications of Malliavin calculus to Monte Carlo methods in finance, Finance and Stochastics, vol. 3, n°4, p. 391-412

Lions P-L., Swiech A., Kocan M., Crandall M. (1999), Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations, Electronic Journal of Differential Equations, vol. 1999, n°24, p. 1-20

Lions P-L. (1999), Bornes sur la densité pour les équations de Navier-Stokes compressibles isentropiques avec conditions aux limites de Dirichlet, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 328, n°8, p. 659-662

Lions P-L., Masmoudi N. (1999), Une approche locale de la limite incompressible, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 329, n°5, p. 387-392

Masmoudi N., Lions P-L. (1999), On a free boundary barotropic model, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 16, n°3, p. 373-410

Lions P-L., Lasry J-M. (1999), Contrôle stochastique avec informations partielles et applications à la Finance, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 328, n°11, p. 1003-1010

Lions P-L. (1998), Régularité et compacité pour des noyaux de collision de Boltzmann sans troncature angulaire, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 326, n°1, p. 37-41

Lions P-L. (1998), Régularité optimale des moyennes en vitesses, II, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 326, n°8, p. 945-948

Catto I., Lions P-L., Le Bris C. (1998), Sur la limite thermodynamique pour des modèles de type Hartree et Hartree-Fock, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 327, n°3, p. 259-266

Lions P-L., Arisawa M. (1998), On ergodic stochastic control, Communications in Partial Differential Equations, vol. 23, n°11-12, p. 333-358

Lions P-L. (1998), Identification du cône dual des fonctions convexes et applications, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 326, n°12, p. 1385-1390

Lions P-L. (1998), Sur les équations différentielles ordinaires et les équations de transport, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 326, n°7, p. 833-838

Lions P-L., Souganidis P. (1998), Fully nonlinear stochastic partial differential equations: non-smooth equations and applications, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 327, n°8, p. 735-741

Souganidis P., Lions P-L. (1998), Fully nonlinear stochastic partial differential equations, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 326, n°9, p. 1085-1092

Masmoudi N., Lions P-L. (1998), Incompressible limit for a viscous compressible fluid, Journal de mathématiques pures et appliquées, vol. 77, n°6, p. 585-627

Masmoudi N., Lions P-L. (1998), Unicité des solutions faibles de Navier-Stokes dans LN (Omega), Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 327, n°5, p. 491-496

Ishii H., Lions P-L., Arisawa M. (1997), Un contre-exemple pour la théorie du contrôle ergodique en dimension infinie, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 325, n°1, p. 37-41

Lions P-L., Toscani G. (1997), Diffusive limit for finite velocity Boltzmann kinetic models, Revista Matematica Iberoamericana, vol. 13, n°3, p. 473-513

Lions P-L., Ferone V., Alvino A. (1997), Convex symmetrization and applications, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 14, n°2, p. 275-293

Alvarez O., Lasry J-M., Lions P-L. (1997), Convex viscosity solutions and state constraints, Journal de mathématiques pures et appliquées, vol. 76, n°3, p. 265-288

Chambolle A., Lions P-L. (1997), Image recovery via total variation minimization and related problems, Numerische Mathematik, vol. 76, n°2, p. 167-188

Catto I., Le Bris C., Lions P-L. (1996), Limite thermodynamique pour des modèles de type Thomas-Fermi, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 322, p. 357-364

Souganidis P., Lions P-L., Perthame B. (1996), Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates, Communications on Pure and Applied Mathematics, vol. 49, n°6, p. 599-638

Arisawa M., Lions P-L. (1996), Continuity of admissible trajectories for state constraints control problems, Discrete and Continuous Dynamical Systems. Series A, vol. 2, n°3, p. 297-305

Villani C., Lions P-L. (1995), Régularité optimale de racines carrées, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, n°321, p. 1537-1541

Lions P-L., Souganidis P. (1995), Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations, Numerische Mathematik, vol. 69, n°4, p. 441-470

Lions P-L. (1995), Régularité optimale des moyennes en vitesses, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 320, n°8, p. 911-915

Lions P-L., Lasry J-M. (1995), Grandes déviations pour des processus de diffusion couplés par un processus de sauts, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 321, n°7, p. 849-854

Perthame B., Lions P-L., Tadmor E. (1994), Kinetic formulation of the isentropic gas dynamics and p-systems, Communications in Mathematical Physics, vol. 163, n°2, p. 415-431

Lions P-L., Guichard F., Alvarez L., Morel J-M. (1993), Axioms and fundamental equations of image processing, Archive for Rational Mechanics and Analysis, vol. 123, n°3, p. 199-257

Catto I., Lions P-L. (1993), Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 4 : Binding of neutral systems for the Hartree model, Communications in Partial Differential Equations, vol. 18, n°7-8, p. 1149-1159

Catto I., Lions P-L. (1993), Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 2 : Stability is equivalent to the binding of neutral subsystems, Communications in Partial Differential Equations, vol. 18, n°1-2, p. 305-354

Tourin A., Lions P-L., Rouy E. (1993), Shape-from-shading, viscosity solutions and edges, Numerische Mathematik, vol. 64, n°1, p. 323-353

Catto I., Lions P-L. (1993), Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 3 : Binding of neutral subsystems, Communications in Partial Differential Equations, vol. 18, n°3-4, p. 381-429

Pulvirenti M., Marchioro C., Lions P-L., Caglioti E. (1992), A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description, Communications in Mathematical Physics, vol. 43, n°3, p. 501-525

Catto I., Lions P-L. (1992), A necessary and sufficient condition for the stability of general molecular systems, Communications in Partial Differential Equations, vol. 17, n°7-8, p. 1051-1110

Morel J-M., Lions P-L., Coll T., Catté F. (1992), Image Selective Smoothing and Edge Detection by Nonlinear Diffusion, SIAM Journal on Numerical Analysis, vol. 29, n°1, p. 182-193

Duffie D., Lions P-L. (1992), PDE solutions of stochastic differential utility, Journal of Mathematical Economics, vol. 21, n°6, p. 577-606

Lions P-L. (1992), On the existence and convergence of solutions of Boltzmann equations, Rendiconti del Seminario Matematico e Fisico di Milano, vol. 62, n°1, p. 115-125

Barles G., Lions P-L. (1991), Fully nonlinear Neumann type boundary conditions for first-order Hamilton–Jacobi equations, Nonlinear Analysis, vol. 16, n°2, p. 143-153

Crandall M., Lions P-L. (1991), Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. V. Unbounded linear terms and B-continuous solutions, Journal of Functional Analysis, vol. 97, n°2, p. 417-465

DiPerna R., Lions P-L. (1991), Global solutions of Boltzmann's equation and the entropy inequality, Archive for Rational Mechanics and Analysis, vol. 114, n°1, p. 47-55

Lions P-L., Perthame B. (1991), Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system, Inventiones Mathematicae, vol. 105, n°1, p. 415-430

Lions P-L., Larrouturou B., Berestycki H. (1990), Multi-dimensional travelling-wave solutions of a flame propagation model, Archive for Rational Mechanics and Analysis, vol. 111, n°1, p. 33-49

Catto I., Lions P-L. (1990), La stabilité des molécules et la liaison des atomes pour des modèles de type Thomas-Fermi ou Hartree, Comptes Rendus de l’Académie des Sciences. Série 1, Mathématique, vol. 311, p. 193-198

Crandall M., Lions P-L. (1990), Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. IV. Hamiltonians with unbounded linear terms, Journal of Functional Analysis, vol. 90, n°2, p. 237-283

Lions P-L., Ishii H. (1990), Viscosity solutions of fully nonlinear second-order elliptic partial differential equations, Journal of Differential Equations, vol. 83, n°1, p. 26-78

Crandall M., Lions P-L., Souganidis P. (1989), Maximal solutions and universal bounds for some partial differential equations of evolution, Archive for Rational Mechanics and Analysis, vol. 105, n°2, p. 163-190

Lions P-L., Trombetti G., Alvino A. (1989), On optimization problems with prescribed rearrangements, Nonlinear Analysis, vol. 13, n°2, p. 185-220

Lions P-L., Lasry J-M. (1989), Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints, Mathematische Annalen, vol. 283, n°4, p. 583-630

DiPerna R., Lions P-L. (1989), Ordinary differential equations, transport theory and Sobolev spaces, Inventiones Mathematicae, vol. 98, n°3, p. 511-547

Lions P-L. (1989), 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, Journal of Functional Analysis, vol. 86, n°1, p. 1-18

Lions P-L. (1989), On Hartree and Hartree-Fock equations in atomic and nuclear physics, Computer Methods in Applied Mechanics and Engineering, vol. 75, n°1-3, p. 53-60

Lions P-L. (1988), Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. Part I: the case of bounded stochastic evolutions, Acta Mathematica, vol. 161, n°1, p. 243-278

Lions P-L., Golse F., Sentis R., Perthame B. (1988), Regularity of the moments of the solution of a Transport Equation, Journal of Functional Analysis, vol. 76, n°1, p. 110-125

Lions P-L., DiPerna R. (1988), On the Fokker-Planck-Boltzmann equation, Communications in Mathematical Physics, vol. 120, n°1, p. 1-23

Perthame B., Lions P-L. (1987), Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians, Nonlinear Analysis, vol. 11, n°5, p. 613-621

Lions P-L. (1987), Solutions of Hartree-Fock equations for Coulomb systems, Communications in Mathematical Physics, vol. 109, n°1, p. 33-97

Trudinger N., Lions P-L. (1986), Linear oblique derivative problems for the uniformly elliptic Hamilton-Jacobi-Bellman equation, Mathematische Zeitschrift, vol. 191, n°1, p. 1-15

Crandall M., Lions P-L. (1986), Hamilton-Jacobi equations in infinite dimensions, III, Journal of Functional Analysis, vol. 68, n°2, p. 214-247

Lasry J-M., Lions P-L. (1986), A remark on regularization in Hilbert spaces, Israel Journal of Mathematics, vol. 55, n°3, p. 257-266

Lions P-L., Souganidis P. (1986), Differential Games and Directional Derivatives of Viscosity Solutions of Isaacs’ Equations II, SIAM Journal on Control and Optimization, vol. 24, n°5, p. 1086-1089

Perthame B., Lions P-L. (1986), Quasi-Variational Inequalities and Ergodic Impulse Control, SIAM Journal on Control and Optimization, vol. 24, n°4, p. 604-615

Crandall M., Lions P-L. (1986), Hamilton-Jacobi equations in infinite dimensions. II. Existence of viscosity solutions, Journal of Functional Analysis, vol. 65, n°3, p. 368-405

Crandall M., Lions P-L. (1986), On existence and uniqueness of solutions of Hamilton-Jacobi equations, Nonlinear Analysis, vol. 10, n°4, p. 353-370

Lions P-L. (1985), Two remarks on Monge-Ampere equations, Annali di Matematica Pura ed Applicata, vol. 142, n°1, p. 263-275

Crandall M., Lions P-L. (1985), Hamilton-Jacobi equations in infinite dimensions I. Uniqueness of viscosity solutions, Journal of Functional Analysis, vol. 62, n°3, p. 379-396

Lions P-L. (1985), Sur les equations de Monge-Ampère, Archive for Rational Mechanics and Analysis, vol. 89, n°2, p. 93-122

Crandall M., Lions P-L. (1985), Viscosity Solutions of Hamilton-Jacobi Equations in Banach Spaces, North-Holland Mathematics Studies, vol. 110, p. 115-119

Lions P-L. (1984), Structure of the set of steady-state solutions and asymptotic behaviour of semilinear heat equations, Journal of Differential Equations, vol. 53, n°3, p. 362-386

Lions P-L., Souganidis P. (1984), Differential Games, Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman’s and Isaacs’ Equations, SIAM Journal on Control and Optimization, vol. 23, n°4, p. 566-583

Lions P-L. (1983), Bifurcation and optimal stochastic control, Nonlinear Analysis, vol. 7, n°2, p. 177-207

Berestycki H., Lions P-L. (1983), Nonlinear scalar field equations, II existence of infinitely many solutions, Archive for Rational Mechanics and Analysis, vol. 82, n°4, p. 347-375

Berestycki H., Lions P-L. (1983), Nonlinear scalar field equations, I existence of a ground state, Archive for Rational Mechanics and Analysis, vol. 82, n°4, p. 313-345

Lions P-L. (1983), Sur les equations de Monge-Ampere. I, Manuscripta Mathematica, vol. 41, n°1-3, p. 1-43

Lions P-L., Esteban M. (1983), A compactness lemma, Nonlinear Analysis, vol. 7, n°4, p. 381-385

Lions P-L. (1983), On the Hamilton-Jacobi-Bellman equations, Acta Applicandae Mathematicae, vol. 1, n°1, p. 17-41

Lions P-L. (1982), Asymptotic behavior of some nonlinear heat equations, Physica. D, Nonlinear Phenomena, vol. 5, n°2-3, p. 293-306

Lions P-L. (1982), Symétrie et compacité dans les espaces de Sobolev, Journal of Functional Analysis, vol. 49, n°3, p. 315-334

Cazenave T., Lions P-L. (1982), Orbital stability of standing waves for some nonlinear Schrödinger equations, Communications in Mathematical Physics, vol. 85, n°4, p. 549-561

Ouvrages

Cousin A., Crépey S., Guéant O., Hobson D., Jeanblanc M., Lasry J-M., Laurent J-P., Lions P-L., Tankov P. (2011), Paris-Princeton Lectures on Mathematical Finance 2010, Berlin: Springer, 359 p.

Catto I., Le Bris C., Lions P-L. (1998), Mathematical theory of thermodynamic limits. Thomas- Fermi type models, Oxford: Clarendon Press, 292 p.

Lions P-L. (1998), Mathematical Topics in Fluid Mechanics. Volume 2: Compressible Models, Oxford: Clarendon Press, 364 p.

Lions P-L. (1997), On Euler equations and statistical physics, Pise: Scuola normale superiore, 69 p.

Lions P-L. (1996), Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models, Oxford: Clarendon Press, 256 p.

Chapitres d'ouvrage

Guéant O., Lasry J-M., Lions P-L. (2010), Mean Field Games and Oil Production, in Fessler, Damien; Lautier, Delphine; Lasry, Jean-Michel, The Economics of Sustainable Development, Paris: Economica, p. 368

Lions P-L. (2000), On Some Challenging Problems in Nonlinear Partial Differential Equations, in Arnold, Vladimir, Mathematics: frontiers and perspectives, Providence (RI): American Mathematical Society, p. 459

Catto I., Lions P-L., Le Bris C. (2000), Recent mathematical results on the quantum modeling of crystals, in Mireille Defranceschi, Claude Le Bris, Mathematical models and methods for ab initio quantum chemistry, Edimbourg: Springer, p. 95-120

Fournié E., Lions P-L., Lasry J-M. (1997), Some nonlinear methods for studying far-from-the-money contingent claims, in Talay, Denis, Numerical methods in finance, Cambridge: Cambridge University Press, p. 326

Communications avec actes

Lions P-L., Guéant O., Lasry J-M. (2011), Mean Field Games and Applications, in Tankov, Peter, Paris-Princeton Lectures on Mathematical Finance 2010, Paris, Springer, 359 p.

Lasry J-M., Lions P-L. (2007), Large investor trading impacts on volatility, in Taflin, Erik, Paris-Princeton Lectures on Mathematical Finance 2004, Berlin, Springer, 173-190 p.

Souganidis P., Perthame B., Lions P-L. (1996), Weak Stability of Isentropic Gas Dynamics for y = 5-3., in Alvino, Angelo, Progress in Elliptic and Parabolic Partial Differential Equations, New York, Longman, 223 p.

Lions P-L. (1986), Dynamic programming and the use of viscosity solutions, in , 25th IEEE Conference on Decision and Control, 1986. Proceedings, Athènes, IEEE - Institute of Electrical and Electronics Engineers, 1680-1681 p.

Communications sans actes

Lions P-L., Perthame B., Souganidis P. (2012), Stochastic averaging lemmas for kinetic equations, Séminaire Laurent Schwartz — EDP et applications, Palaiseau, France

Lions P-L., Souganidis P. (1998), Equations aux dérivées partielles stochastiques nonlinéaires et solutions de viscosité, Séminaire "Equations aux dérivées partielles", Ecole Polytechnique, Palaiseau, France

Prépublications / Cahiers de recherche

Achdou Y., Bertucci C., Lasry J-M., Lions P-L., Rostand A., Scheinkman J. (2020), A class of short-term models for the oil industry addressing speculative storage, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 22 p.

Gassiat P., Gess B., Lions P-L., Souganidis P. (2018), Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 21 p.

Cardaliaguet P., Delarue F., Lasry J-M., Lions P-L. (2015), The master equation and the convergence problem in mean field games, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 142 p.

Lasry J-M., Guéant O., Lions P-L. (2008), Application of Mean Field Games to Growth Theory, Paris, Université Paris-Dauphine, 17 p.

Lions P-L., Lasry J-M. (2000), A new class of singular stochastic control problems, Cahiers du CEREMADE, 12 p.

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