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Mathematics

D-Index
52
Citations
11192
World Ranking
957
National Ranking
48

Overview

Guy Barles is affiliated with François Rabelais University in France and has made contributions primarily in the areas of mathematics and computer science. Their research focuses on several specialized subfields, including applied mathematics, numerical analysis, computational theory and mathematics, modeling and simulation, and statistical and nonlinear physics.

The scientist's work spans multiple topics related to differential equations and mathematical modeling. Key areas of research include nonlinear partial differential equations, mathematical biology with specific attention to tumor growth, differential equations and numerical methods, advanced mathematical modeling in engineering, stochastic processes and financial applications, differential equations and boundary problems, as well as numerical methods for differential equations.

Frequent coauthors collaborating with Guy Barles include Emmanuel Chasseigne, Alexander Quaas, Olivier Ley, Erwin Topp, and Andrei Rodríguez-Paredes.

Publications by Guy Barles appear predominantly in the following venues:

  • arXiv (Cornell University)
  • Communications in Partial Differential Equations
  • Partial Differential Equations and Applications

Significant recent papers authored by Guy Barles are:

  • Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in RN, 2020, Communications in Partial Differential Equations
  • Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein's method, 2021, Partial Differential Equations and Applications
  • Some Comparison Results for First-Order Hamilton-Jacobi Equations and Second-Order Fully Nonlinear Parabolic Equations with Ventcell Boundary Conditions, 2024, arXiv (Cornell University)
  • Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions, 2024, arXiv (Cornell University)
  • Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi Equations in ℝN, 2020, arXiv (Cornell University)

Guy Barles has contributed to book publications, including a title published by Progress in nonlinear differential equations and their applications:

  • On Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities, 2023

Best Publications

  • Convergence of approximation schemes for fully nonlinear second order equations

    G. Barles;P.E. Souganidis

  • Backward stochastic differential equations and integral-partial differential equations

    Guy Barles;Rainer Buckdahn;Etienne Pardoux

  • Front propagation and phase field theory

    G. Barles;H. M. Soner;P. E. Sougandis

  • Option pricing with transaction costs and a nonlinear Black-Scholes equation

    Guy Barles;Halil Mete Soner

  • Second-order elliptic integro-differential equations: viscosity solutions' theory revisited

    Guy Barles;Cyril Imbert

  • Exit Time Problems in Optimal Control and Vanishing Viscosity Method

    Guy Barles;Benoît Perthame

  • Discontinuous solutions of deterministic optimal stopping time problems

    Unknown

  • EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM*

    G. Barles;Jérôme Busca

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

    Guy Barles;Christine Georgelin

  • A New Approach to Front Propagation Problems: Theory and Applications

    Guy Barles;Panagiotis E. Souganidis

  • On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations

    Guy Barles;Espen Robstad Jakobsen

  • On the large time behavior of solutions of Hamilton—Jacobi equations

    G. Barles;Panagiotis E. Souganidis

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

    Guy Barles;Emmanuel Chasseigne;Cyril Imbert

  • Dirac concentrations in Lotka-Volterra parabolic PDEs

    Benoît Perthame;Guy Barles

  • SPACE-TIME PERIODIC SOLUTIONS AND LONG-TIME BEHAVIOR OF SOLUTIONS TO QUASI-LINEAR PARABOLIC EQUATIONS ∗

    Guy Barles;Panagiotis E. Souganidis

  • Concentration in Lotka-Volterra Parabolic or Integral Equations: A General Convergence Result

    Guy Barles;Sepideh Mirrahimi;Benoît Perthame

  • CRITICAL STOCK PRICE NEAR EXPIRATION

    Guy Barles;Julien Burdeau;Marc Romano;Nicolas Samsoen

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

    Guy Barles;Espen R. Jakobsen

  • CONVERGENCE OF NUMERICAL SCHEMES FOR PARABOLIC EQUATIONS ARISING IN FINANCE THEORY

    Unknown

  • Numerical Methods in Finance: Convergence of Numerical Schemes for Degenerate Parabolic Equations Arising in Finance Theory

    Unknown

  • The Dirichlet Problem for Semilinear Second-Order Degenerate Elliptic Equations and Applications to Stochastic Exit Time Control Problems

    G. Barles;J. Burdeau

  • Wavefront propagation for reaction-diffusion systems of PDE

    G. Barles;L. C. Evans;P. E. Souganidis

  • Nonlinear Neumann Boundary Conditions for Quasilinear Degenerate Elliptic Equations and Applications

    Guy Barles

Frequent Co-Authors

Panagiotis E. Souganidis
Panagiotis E. Souganidis University of Chicago
Hitoshi Ishii
Hitoshi Ishii Waseda University
Cyril Imbert
Cyril Imbert École Normale Supérieure
Benoît Perthame
Benoît Perthame Sorbonne University
Alessio Porretta
Alessio Porretta University of Rome Tor Vergata
Pierre Cardaliaguet
Pierre Cardaliaguet Paris Dauphine University
Emmanuel Trélat
Emmanuel Trélat Sorbonne University
Jean-Michel Roquejoffre
Jean-Michel Roquejoffre Toulouse Mathematics Institute
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Pierre-Louis Lions
Pierre-Louis Lions Collège de France

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