Guy Barles

Documents

Publications

	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), ⟨10.1007/s42985-021-00130-7⟩ Journal articles 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⟩ Journal articles 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⟩ Journal articles hal-01592608v2
	Corrigendum to " (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⟩ Journal articles 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⟩ Journal articles hal-01392414v1
	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 Journal articles hal-01313559v2
	{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⟩ Journal articles 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⟩ Journal articles hal-00985958v1
	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 Journal articles 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 Journal articles hal-01214425v1
	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 Journal articles hal-01366450v1
	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 Journal articles hal-00904365v1
	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⟩ Journal articles hal-00986700v1
	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⟩ Journal articles 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 Journal articles hal-01097167v3
	Large Time Behavior of Periodic Viscosity Solutions for Uniformly Parabolic Integro-Differential Equations Guy Barles , Emmanuel Chasseigne , Adina Ciomaga , Cyril Imbert Calc. Var. Partial Differential Equations, 2014, 50 (1-2), pp.283-304. ⟨10.1007/s00526-013-0636-2⟩ Journal articles hal-00743751v1
	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 Journal articles 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 Journal articles 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 Journal articles hal-00825778v2
	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⟩ Journal articles hal-00757830v3
	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⟩ Journal articles hal-01594169v1
	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 Journal articles hal-00745918v1
	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 Journal articles hal-00652406v3
	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 Journal articles hal-00699378v1
	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⟩ Journal articles hal-00555287v2
	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⟩ Journal articles hal-00608848v2
	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⟩ Journal articles hal-00486802v1
	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 Journal articles hal-00542225v2
	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⟩ Journal articles hal-00503154v2
	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 Journal articles hal-00623000v2
	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⟩ Journal articles hal-00179690v2
	Homogenization of fronts in highly heterogeneous media Guy Barles , Annalisa Cesaroni , Matteo Novaga SIAM Journal on Mathematical Analysis, 2011, 43 (1), pp.212--227 Journal articles hal-00494583v1
	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 Journal articles hal-00375575v1
	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⟩ Journal articles hal-00847284v1
	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⟩ Journal articles hal-00401442v1
	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 Journal articles hal-00441975v1
	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⟩ Journal articles hal-00255763v1
	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⟩ Journal articles 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⟩ Journal articles hal-00287372v1
	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⟩ Journal articles hal-00264757v1
	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 Journal articles hal-00150151v3
	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⟩ Journal articles hal-00129352v2
	Dirac concentrations in Lotka-Volterra parabolic PDEs Benoît Perthame , Guy Barles Indiana University Mathematics Journal, 2008, 57 (7), pp.3275-3301 Journal articles hal-00168404v1
	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 Journal articles hal-00426354v1
	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⟩ Journal articles hal-00130169v3
	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 Journal articles 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 Journal articles hal-00071284v2
	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 Journal articles hal-00017876v1
	Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi Equations Guy Barles , Jean-Michel Roquejoffre Comm. Partial Differential Equations, 2006, 31 (7-9), pp.1209--1225 Journal articles hal-00121921v1
	NONLOCAL FIRST-ORDER HAMILTON-JACOBI EQUATIONS MODELLING DISLOCATIONS DYNAMICS Guy Barles , Olivier Ley Comm. Partial Differential Equations, 2006, 31 (7-9), pp.1191-1208. ⟨10.1080/03605300500361446⟩ Journal articles hal-00021694v1
	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 Journal articles 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⟩ Journal articles hal-00426355v1
	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 Journal articles 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 Journal articles hal-02315330v1

	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 Conference papers hal-01272724v1
	Modélisation générique de l'intestin grêle Nasissatou Ingrid Traore , Guy Barles , Christine Georgelin , Jean René Licois , Jaap J. van Milgen Journées de Restitution des projets financés sur Crédits Incitatifs en 2006 et 2007 - Département PHASE, Nov 2008, Tours, France Conference papers hal-01173373v1

	Some Comparison Results for First-Order Hamilton-Jacobi Equations and Second-Order Fully Nonlinear Parabolic Equations with Ventcell Boundary Conditions Guy Barles , Emmanuel Chasseigne 2024 Preprints, Working Papers, ... hal-04565750v1
	An Illustrated Guide of the Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities Guy Barles , Emmanuel Chasseigne 2023 Preprints, Working Papers, ... hal-01962955v4
	Bistability induced by generalist natural enemies can reverse pest invasions Sten Madec , Jérome Casas , Guy Barles , Christelle Suppo 2016 Preprints, Working Papers, ... hal-01194895v2
	Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result Guy Barles , Sepideh Mirrahimi , Benoît Perthame 2009 Preprints, Working Papers, ... hal-00391982v1

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

Guy Barles

Publications

Local Gradient Estimates for Second-Order Nonlinear Elliptic and Parabolic Equations by the Weak Bernstein's Method

Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi Equations in $\mathbb{R}^N$

Large time behavior of unbounded solutions of first-order Hamilton-Jacobi equations in $\mathbb{R}^N$

Corrigendum to " (Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains "

Flux-limited and classical viscosity solutions for regional control problems

Value function for regional control problems via dynamic programming and Pontryagin maximum principle

{Lipschitz regularity for integro-differential equations with coercive {H}amiltonians and application to large time behavior}

Existence, Uniqueness and Asymptotic Behavior for Nonlocal Parabolic Problems with Dominating Gradient Terms

Lipschitz Regularity for Censored Subdiffusive Integro-Differential Equations with Superfractional Gradient Terms

On the regularizing effect for unbounded solutions of first-order Hamilton-Jacobi equations

ON UNBOUNDED SOLUTIONS OF ERGODIC PROBLEMS IN R^m FOR VISCOUS HAMILTON-JACOBI EQUATIONS

Global Continuation beyond Singularities on the Boundary for a Degenerate Diffusive Hamilton-Jacobi Equation

Homogenization Results for a Deterministic Multi-domains Periodic Control Problem

Regularity Results and Large Time Behavior for Integro-Differential Equations with Coercive Hamiltonians

(Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains

Large Time Behavior of Periodic Viscosity Solutions for Uniformly Parabolic Integro-Differential Equations

On Neumann Type Problems for nonlocal Equations set in a half Space

On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations

A Bellman approach for regional optimal control problems in $\R^N$

Digestion Modelling in the Small Intestine : Impact of Dietary Fibre

Mathematical homogenization in the modelling of digestion in the small intestine

A new PDE approach to the large time asymptotics of solutions of Hamilton-Jacobi equations

A Bellman approach for two-domains optimal control problems in $\R^N$

On homogenization problems for fully nonlinear equations with oscillating Dirichlet boundary conditions

Mathematical Modeling of Transport and Degradation of Feedstuffs in the Small Intestine

Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations

Short Time Uniqueness Results for Solutions of Nonlocal and Non-monotone Geometric Equations

A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi Equations

Singular Hamilton-Jacobi equation modeling the tail problem

On the Large Time Behavior of Solutions of Hamilton-Jacobi Equations Associated with Nonlinear Boundary Conditions

Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations

Homogenization of fronts in highly heterogeneous media

A short proof of the $C^{0,\alpha}$--regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications

Deterministic minimax impulse control

Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation

On the Large Time Behavior of Solutions of the Dirichlet problem for Subquadratic Viscous Hamilton-Jacobi Equations

Unbounded Viscosity Solutions of Hybrid Control Systems

Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result

Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations

Uniqueness Results for Nonlocal Hamilton-Jacobi Equations

On the Dirichlet Problem for Second-Order Elliptic Integro-Differential Equations

GLOBAL EXISTENCE RESULTS AND UNIQUENESS FOR DISLOCATION EQUATIONS

Dirac concentrations in Lotka-Volterra parabolic PDEs

Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions

Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited

Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations

Some Homogenization Results for Non-Coercive Hamilton-Jacobi Equations

Uniqueness for unbounded solutions to stationary viscous Hamilton--Jacobi equations

Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi Equations

NONLOCAL FIRST-ORDER HAMILTON-JACOBI EQUATIONS MODELLING DISLOCATIONS DYNAMICS

A New Stability Result for Viscosity Solutions of Nonlinear Parabolic Equations with Weak Convergence in Time

Local $C^{0,\alpha}$ Estimates for Viscosity Solutions of Neumann-type Boundary Value Problems

On the Boundary Ergodic Problem for Fully Nonlinear Equations in Bounded Domains with General Nonlinear Neumann Boundary Conditions

A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature

Un résultat d' homogénéisation pour une équation de Hamilton-Jacobi périodique sur un réseau hétérogéne

Modélisation générique de l'intestin grêle

Some Comparison Results for First-Order Hamilton-Jacobi Equations and Second-Order Fully Nonlinear Parabolic Equations with Ventcell Boundary Conditions

An Illustrated Guide of the Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities

Bistability induced by generalist natural enemies can reverse pest invasions

Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result

Asymptotic behavior of viscosity solutions of first-order Hamilton Jacobi equations

Remarks on a flame propagation model

Remarks on a flame propagation model