Sharp Decay Estimates and Vanishing Viscosity for Diffusive Hamilton-Jacobi Equations
Analysis of PDEs
2008-11-11 v1
Abstract
Sharp temporal decay estimates are established for the gradient and time derivative of solutions to a viscous Hamilton-Jacobi equation as well the associated Hamilton-Jacobi equation. Special care is given to the dependence of the estimates on the viscosity. The initial condition being only continuous and either bounded or non-negative. The main requirement on the Hamiltonians is that it grows superlinearly or sublinearly at infinity, including in particular H(r) = r^p for r non-negatif and p positif and different from 1.
Cite
@article{arxiv.0811.1435,
title = {Sharp Decay Estimates and Vanishing Viscosity for Diffusive Hamilton-Jacobi Equations},
author = {Said Benachour and Matania Ben-Artzi and Philippe Laurençot},
journal= {arXiv preprint arXiv:0811.1435},
year = {2008}
}
Comments
20 pages