Lipschitz regularity for viscous Hamilton-Jacobi equations with $L^p$ terms
Analysis of PDEs
2020-01-28 v2
Abstract
We provide Lipschitz regularity for solutions to viscous time-dependent Hamilton-Jacobi equations with right-hand side belonging to Lebesgue spaces. Our approach is based on a duality method, and relies on the analysis of the regularity of the gradient of solutions to a dual (Fokker-Planck) equation. Here, the regularizing effect is due to the non-degenerate diffusion and coercivity of the Hamiltonian in the gradient variable.
Cite
@article{arxiv.1812.03706,
title = {Lipschitz regularity for viscous Hamilton-Jacobi equations with $L^p$ terms},
author = {Marco Cirant and Alessandro Goffi},
journal= {arXiv preprint arXiv:1812.03706},
year = {2020}
}
Comments
31 pages