Lasry-Lions approximations for discounted Hamilton-Jacobi equations

Abstract

We study the Lasry-Lions approximation using the kernel determined by the fundamental solution with respect to a time-dependent Tonelli Lagrangian. This approximation process is also applied to the viscosity solutions of the discounted Hamilton-Jacobi equations.

References in corpus (2)

• Convergence of the solutions of the discounted equation: the discrete case
• Homoclinic orbits and critical points of barrier functions