Guy Barles

Publications

Article dans une revue (55)

Local Gradient Estimates for Second-Order Nonlinear Elliptic and Parabolic Equations by the Weak Bernstein's Method G Barles SN Partial Differential Equations and Applications, 2021, 2 (6), pp.71. ⟨10.1007/s42985-021-00130-7⟩ Article dans une revue hal-01526740v2
Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi Equations in $\mathbb{R}^N$ Guy Barles,Alexander Quaas,Andrei Rodríguez-Paredes Communications in Partial Differential Equations, 2021, 46 (3), pp.547-572. ⟨10.1080/03605302.2020.1846561⟩ Article dans une revue hal-02531455v1
Large time behavior of unbounded solutions of first-order Hamilton-Jacobi equations in $\mathbb{R}^N$ Guy Barles,Olivier Ley,Thi-Tuyen Nguyen,Thanh Viet Phan Asymptotic Analysis, 2019, 112 (1-2), pp.1-22. ⟨10.3233/ASY-181488⟩ Article dans une revue hal-01592608v2
Value function for regional control problems via dynamic programming and Pontryagin maximum principle Guy Barles,Ariela Briani,Emmanuel Trélat Mathematical Control and Related Fields, 2018, 8 (3-4), pp.509--533 Article dans une revue hal-01313559v2
Corrigendum to &quot; (Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains Guy Barles,Emmanuel Chasseigne Networks and Heterogeneous Media, 2018, 13 (2), pp.373-378. ⟨10.3934/nhm.2018016⟩ Article dans une revue hal-01591473v2
Flux-limited and classical viscosity solutions for regional control problems Guy Barles,Ariela Briani,Emmanuel Chasseigne,Cyril Imbert ESAIM: Control, Optimisation and Calculus of Variations, 2018, 24, pp.1881-1906. ⟨10.1051/cocv/2017076⟩ Article dans une revue hal-01392414v1
Bistability induced by generalist natural enemies can reverse pest invasions Sten Madec,Jérôme Casas,Guy Barles,Christelle Suppo Journal of Mathematical Biology, 2017, 75 (3), pp.543-575. ⟨10.1007/s00285-017-1093-x⟩ Article dans une revue hal-01194895v2
{Lipschitz regularity for integro-differential equations with coercive {H}amiltonians and application to large time behavior} Guy Barles,Olivier Ley,Erwin Topp Nonlinearity, 2017, 30 (2), pp.703-734. ⟨10.1088/1361-6544/aa527f⟩ Article dans une revue hal-01278603v1
Existence, Uniqueness and Asymptotic Behavior for Nonlocal Parabolic Problems with Dominating Gradient Terms Guy Barles,Erwin Topp SIAM Journal on Mathematical Analysis, 2016, 48 (2), pp.1512-1547. ⟨10.1137/140967192⟩ Article dans une revue hal-00985958v1
ON UNBOUNDED SOLUTIONS OF ERGODIC PROBLEMS IN R^m FOR VISCOUS HAMILTON-JACOBI EQUATIONS Guy Barles,Joao Meireles Communications in Partial Differential Equations, 2016, 41 (12), pp.1985-2003 Article dans une revue hal-01366450v1
Lipschitz Regularity for Censored Subdiffusive Integro-Differential Equations with Superfractional Gradient Terms Guy Barles,Erwin Topp Nonlinear Analysis: Theory, Methods and Applications, 2016, 131, pp.3-31 Article dans une revue hal-01081722v2
On the regularizing effect for unbounded solutions of first-order Hamilton-Jacobi equations Guy Barles,Emmanuel Chasseigne Journal of Differential Equations, 2016, 260 (9), pp.7020-7031 Article dans une revue hal-01214425v1
Homogenization Results for a Deterministic Multi-domains Periodic Control Problem Guy Barles,Ariela Briani,Emmanuel Chasseigne,Nicoletta Tchou Asymptotic Analysis, 2015, 95 (3-4), pp.243-278. ⟨10.3233/ASY-151322⟩ Article dans une revue hal-00986700v1
Global Continuation beyond Singularities on the Boundary for a Degenerate Diffusive Hamilton-Jacobi Equation Amal Attouchi,Guy Barles Journal de Mathématiques Pures et Appliquées, 2015, 104 (2), pp.383-402 Article dans une revue hal-00904365v1
Regularity Results and Large Time Behavior for Integro-Differential Equations with Coercive Hamiltonians Guy Barles,Shigeaki Koike,Olivier Ley,Erwin Topp Calculus of Variations and Partial Differential Equations, 2015, 54 (1), pp.535-572. ⟨10.1007/s00526-014-0794-x⟩ Article dans une revue hal-00980228v1
(Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains G Barles,Emmanuel Chasseigne Networks and Heterogeneous Media, 2015, 10 (4), pp.809-836 Article dans une revue hal-01097167v3
Large Time Behavior of Periodic Viscosity Solutions for Uniformly Parabolic Integro-Differential Equations Guy Barles,Emmanuel Chasseigne,Adina Ciomaga,Cyril Imbert Calculus of Variations and Partial Differential Equations, 2014, 50 (1-2), pp.283-304. ⟨10.1007/s00526-013-0636-2⟩ Article dans une revue hal-00743751v1
Digestion Modelling in the Small Intestine : Impact of Dietary Fibre Masoomeh Taghipoor,Guy Barles,Christine Georgelin,Jean-René Licois,Philippe Lescoat Mathematical Biosciences, 2014, 258, pp.101-112. ⟨10.1016/j.mbs.2014.09.011⟩ Article dans une revue hal-00757830v3
On Neumann Type Problems for nonlocal Equations set in a half Space Guy Barles,Emmanuel Chasseigne,Christine Georgelin,Espen Jakobsen Transactions of the American Mathematical Society, 2014, 366 (9), pp.4873-4917 Article dans une revue hal-00646379v1
On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations Guy Barles,Christine Georgelin,Espen R. Jakobsen Journal of Differential Equations, 2014, 256 (4), pp.1368-1394 Article dans une revue hal-00793393v3
A Bellman approach for regional optimal control problems in $\R^N$ Guy Barles,Ariela Briani,Emmanuel Chasseigne SIAM Journal on Control and Optimization, 2014, 52 (3), pp.1712-1744 Article dans une revue hal-00825778v2
On homogenization problems for fully nonlinear equations with oscillating Dirichlet boundary conditions Guy Barles,Elisabeth Mironescu Asymptotic Analysis, 2013, 82 (3-4), pp.187-200 Article dans une revue hal-00699378v1
A Bellman approach for two-domains optimal control problems in $\R^N$ Guy Barles,Ariela Briani,Emmanuel Chasseigne ESAIM: Control, Optimisation and Calculus of Variations, 2013, 19 (3), pp.710-739 Article dans une revue hal-00652406v3
A new PDE approach to the large time asymptotics of solutions of Hamilton-Jacobi equations Guy Barles,Hitoshi Ishii,Hiroyoshi Mitake Bulletin of Mathematical Sciences, 2013, 3 (3), pp.363-388 Article dans une revue hal-00745918v1
Mathematical homogenization in the modelling of digestion in the small intestine Masoomeh Taghipoor,G. Barles,Christine Georgelin,J.R. Licois,Philippe Lescoat MathematicS In Action, 2013, 6 (1), pp.1-19. ⟨10.5802/msia.7⟩ Article dans une revue hal-01594169v1
A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi Equations Guy Barles,Hiroyoshi Mitake Communications in Partial Differential Equations, 2012, 37 (1), pp.136-168 Article dans une revue hal-00542225v2
Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations Guy Barles,Emmanuel Chasseigne,Adina Ciomaga,Cyril Imbert Journal of Differential Equations, 2012, 252 (11), pp.6012-6060. ⟨10.1016/j.jde.2012.02.013⟩ Article dans une revue hal-00608848v2
Mathematical Modeling of Transport and Degradation of Feedstuffs in the Small Intestine Masoomeh Taghipoor,Philippe Lescoat,Christine Georgelin,Jean-René Licois,Guy Barles Journal of Theoretical Biology, 2012, 294, pp.Journal of Theoretical Biology 294 (2012) 114-121. ⟨10.1016/j.jtbi.2011.10.024⟩ Article dans une revue hal-00555287v2
Singular Hamilton-Jacobi equation modeling the tail problem Sepideh Mirrahimi,Guy Barles,Benoît Perthame,Panagiotis E. Souganidis SIAM Journal on Mathematical Analysis, 2012, 44 (6), pp.4297-4319. ⟨10.1137/100819527⟩ Article dans une revue hal-00503154v2
Short Time Uniqueness Results for Solutions of Nonlocal and Non-monotone Geometric Equations Guy Barles,Olivier Ley,Hiroyoshi Mitake Mathematische Annalen, 2012, 352 (2), pp.409-451. ⟨10.1007/s00208-011-0648-1⟩ Article dans une revue hal-00486802v1
On the Large Time Behavior of Solutions of Hamilton-Jacobi Equations Associated with Nonlinear Boundary Conditions Guy Barles,Hiroyoshi Mitake,Hitoshi Ishii Archive for Rational Mechanics and Analysis, 2012, 204 (2), pp.515-558 Article dans une revue hal-00623000v2
Homogenization of fronts in highly heterogeneous media Guy Barles,Annalisa Cesaroni,Matteo Novaga SIAM Journal on Mathematical Analysis, 2011, 43 (1), pp.212--227 Article dans une revue hal-00494583v1
Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations Guy Barles,Emmanuel Chasseigne,Cyril Imbert Journal of the European Mathematical Society, 2011, 13, pp.1-26. ⟨10.4171/JEMS/242⟩ Article dans une revue hal-00179690v2
Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation Guy Barles,Philippe Laurençot,Christian Stinner Asymptotic Analysis, 2010, 67 (3-4), pp.229--250. ⟨10.3233/ASY-2010-0981⟩ Article dans une revue hal-00401442v1
Unbounded Viscosity Solutions of Hybrid Control Systems Guy Barles,Sheetal Dharmatti,Mythily Ramaswamy ESAIM: Control, Optimisation and Calculus of Variations, 2010, 16 (01), pp.176--193. ⟨10.1051/cocv:2008076⟩ Article dans une revue hal-00255763v1
On the Large Time Behavior of Solutions of the Dirichlet problem for Subquadratic Viscous Hamilton-Jacobi Equations Guy Barles,Alessio Porretta,Thierry Wilfried Tabet Tchamba Journal de Mathématiques Pures et Appliquées, 2010, (9) 94 (5), pp.497-519 Article dans une revue hal-00441975v1
Deterministic minimax impulse control Naïma El Farouq,Guy Barles,Pierre Bernhard Applied Mathematics and Optimization, 2010, 61, pp.353--378. ⟨10.1007/s00245-009-9090-0⟩ Article dans une revue istex hal-00847284v1
A short proof of the $C^{0,\alpha}$--regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications Guy Barles Nonlinear Analysis: Theory, Methods and Applications, 2010, 73 (1), pp.31-47 Article dans une revue hal-00375575v1
Uniqueness Results for Nonlocal Hamilton-Jacobi Equations Guy Barles,Pierre Cardaliaguet,Olivier Ley,Aurélien Monteillet Journal of Functional Analysis, 2009, 257 (5), pp.1261-1287. ⟨10.1016/j.jfa.2009.04.014⟩ Article dans une revue hal-00264757v1
Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result Guy Barles,Sepideh Mirrahimi,Benoît Perthame Methods and Applications of Analysis, 2009, 16 (3), pp.321-340. ⟨10.4310/MAA.2009.v16.n3.a4⟩ Article dans une revue hal-00371416v2
Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations Guy Barles,Pierre Cardaliaguet,Olivier Ley,Aurélien Monteillet Nonlinear Analysis: Theory, Methods and Applications, 2009, 71 (7-8), pp.2801-2810. ⟨10.1016/j.na.2009.01.156⟩ Article dans une revue hal-00287372v1
Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited Guy Barles,Cyril Imbert Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2008, 25 (3), pp.567-585. ⟨10.1016/j.anihpc.2007.02.007⟩ Article dans une revue hal-00130169v3
Dirac concentrations in Lotka-Volterra parabolic PDEs Benoît Perthame,Guy Barles Indiana University Mathematics Journal, 2008, 57 (7), pp.3275-3301 Article dans une revue hal-00168404v1
GLOBAL EXISTENCE RESULTS AND UNIQUENESS FOR DISLOCATION EQUATIONS Guy Barles,Pierre Cardaliaguet,Olivier Ley,Regis Monneau SIAM Journal on Mathematical Analysis, 2008, 40 (1), pp.44-69. ⟨10.1137/070682083⟩ Article dans une revue hal-00129352v2
On the Dirichlet Problem for Second-Order Elliptic Integro-Differential Equations Guy Barles,Emmanuel Chasseigne,Cyril Imbert Indiana University Mathematics Journal, 2008, 57 (1), pp.213-146 Article dans une revue hal-00150151v3
Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions Guy Barles,Francesca da Lio,Pierre Louis Lions,Panagiotis E. Souganidis Indiana University Mathematics Journal, 2008, 57 (5), pp.2355--2376 Article dans une revue hal-00426354v1
Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations Guy Barles,Espen R. Jakobsen Math. Comp., 2007, 76 (260), pp.1861--1893 Article dans une revue hal-00017877v1
Some Homogenization Results for Non-Coercive Hamilton-Jacobi Equations Guy Barles Calculus of Variations and Partial Differential Equations, 2007, 30 (4), pp.449--466 Article dans une revue hal-00071284v2
A New Stability Result for Viscosity Solutions of Nonlinear Parabolic Equations with Weak Convergence in Time Guy Barles Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2006, 343 (3), pp.173-178 Article dans une revue hal-00016437v1
Local $C^{0,\alpha}$ Estimates for Viscosity Solutions of Neumann-type Boundary Value Problems Guy Barles,Francesca da Lio Journal of Differential Equations, 2006, 225 (1), pp.202 -- 241. ⟨10.1016/j.jde.2005.09.004⟩ Article dans une revue hal-00426355v1
Uniqueness for unbounded solutions to stationary viscous Hamilton--Jacobi equations Guy Barles,Alessio Porretta Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2006, 5 (1), pp.107--136 Article dans une revue hal-00017876v1
Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi Equations Guy Barles,Jean-Michel Roquejoffre Communications in Partial Differential Equations, 2006, 31 (7-9), pp.1209--1225 Article dans une revue hal-00121921v1
NONLOCAL FIRST-ORDER HAMILTON-JACOBI EQUATIONS MODELLING DISLOCATIONS DYNAMICS Guy Barles,Olivier Ley Communications in Partial Differential Equations, 2006, 31 (7-9), pp.1191-1208. ⟨10.1080/03605300500361446⟩ Article dans une revue hal-00021694v1
On the Boundary Ergodic Problem for Fully Nonlinear Equations in Bounded Domains with General Nonlinear Neumann Boundary Conditions Guy Barles,Francesca da Lio Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2005, 22 (5), pp.521--541 Article dans une revue hal-00002826v1
A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature Guy Barles,Christine Georgelin SIAM Journal on Numerical Analysis, 1995, 32 (2), pp.484-500. ⟨10.1137/0732020⟩ Article dans une revue hal-02315330v1

Communication dans un congrès (2)

Un résultat d' homogénéisation pour une équation de Hamilton-Jacobi périodique sur un réseau hétérogéne Ariela Briani,Guy Barles,Emmanuel Chasseigne,Nicoletta Tchou 5th Annual International Conference on Partial Differential Equations EDP-NORMANDIE 2015, Oct 2015, Le Havre, France Communication dans un congrès hal-01272724v1
Modélisation générique de l'intestin grêle Nasissatou Ingrid Traore,Guy Barles,Christine Georgelin,Jean René Licois,Jaap J. van Milgenet al. Journées de Restitution des projets financés sur Crédits Incitatifs en 2006 et 2007 - Département PHASE, Nov 2008, Tours, France Communication dans un congrès hal-01173373v1

Pré-publication, Document de travail (4)

Degenerate Elliptic PDEs on a Network with Kirchhoff Conditions Guy Barles,Olivier Ley,Erwin Topp 2025 Pré-publication, Document de travail hal-05260735v1
Some Comparison Results for First-Order Hamilton-Jacobi Equations and Second-Order Fully Nonlinear Parabolic Equations with Ventcell Boundary Conditions Guy Barles,Emmanuel Chasseigne 2025 Pré-publication, Document de travail hal-04565750v4
An Illustrated Guide of the Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities Guy Barles,Emmanuel Chasseigne 2023 Pré-publication, Document de travail hal-01962955v4
Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result Guy Barles,Sepideh Mirrahimi,Benoît Perthame 2009 Pré-publication, Document de travail hal-00391982v1

Rapport (3)

Remarks on a flame propagation model Guy Barles [Research Report] RR-0464, INRIA. 1985 Rapport (rapport de recherche) inria-00076090v1
Remarks on a flame propagation model Guy Barles [Research Report] RR-0451, INRIA. 1985, pp.38 Rapport (rapport de recherche) inria-00076104v1
Asymptotic behavior of viscosity solutions of first-order Hamilton Jacobi equations Guy Barles [Research Report] RR-0403, INRIA. 1985 Rapport (rapport de recherche) inria-00076153v1