Guy Barles

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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
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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
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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
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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
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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⟩

Article dans une revue hal-01591473v2
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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
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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
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{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
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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
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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
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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
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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
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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
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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
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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
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(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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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 Milgen et 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
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Remarks on a flame propagation model

Guy Barles

[Research Report] RR-0464, INRIA. 1985

Rapport (rapport de recherche) inria-00076090v1
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Remarks on a flame propagation model

Guy Barles

[Research Report] RR-0451, INRIA. 1985, pp.38

Rapport (rapport de recherche) inria-00076104v1
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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