370 citations · 951 across the 49 of their papers we have counts for
6 papers · 2 filters
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
In this article, we are interested in the large time behavior of solutions of the Dirichlet problem for subquadratic viscous Hamilton-Jacobi Equations. In the superquadratic case,…
Local Estimates for Viscosity Solutions of Neumann-type Boundary Value Problems
Guy Barles, Francesca Da Lio
In this article, we prove the local regularity and provide estimates for viscosity solutions of fully nonlinear, possibly degenerate, elliptic equations associa…
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 +1
We study periodic homogenization problems for second-order pde in half-space type domains with Neumann boundary conditions. In particular, we are interested in "singular problems"…
Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation
Guy Barles, Philippe Laurençot, Christian Stinner
Convergence to a single steady state is shown for non-negative and radially symmetric solutions to a diffusive Hamilton-Jacobi equation with homogeneous Dirichlet boundary conditio…
A short proof of the --regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications
Guy Barles
Recently I. Capuzzo Dolcetta, F. Leoni and A. Porretta obtain a very surprising regularity result for fully nonlinear, superquadratic, elliptic equations by showing that viscosity…
Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result
Guy Barles, Sepideh Mirrahimi, Benoît Perthame
We study two equations of Lotka-Volterra type that describe the Darwinian evolution of a population density. In the first model a Laplace term represents the mutations. In the seco…