Homogenization of monotone systems of Hamilton-Jacobi equations
Analysis of PDEs
2010-02-10 v1
Abstract
In this paper we study homogenization for a class of monotone systems of first-order time-dependent periodic Hamilton-Jacobi equations. We characterize the Hamiltonians of the limit problem by appropriate cell problems. Hence we show the uniform convergence of the solution of the oscillating systems to the bounded uniformly continuous solution of the homogenized system.
Keywords
Cite
@article{arxiv.0802.0932,
title = {Homogenization of monotone systems of Hamilton-Jacobi equations},
author = {Fabio Camilli and Olivier Ley and Paola Loreti},
journal= {arXiv preprint arXiv:0802.0932},
year = {2010}
}