Continuous dependence estimates and homogenization of quasi-monotone systems of fully nonlinear second order parabolic equations
Analysis of PDEs
2012-02-28 v4
Abstract
Aim of this paper is to extend the continuous dependence estimates proved in \cite{JK1} to quasi-monotone systems of fully nonlinear second-order parabolic equations. As by-product of these estimates, we get an H\"older estimate for bounded solutions of systems and a rate of convergence estimate for the vanishing viscosity approximation. In the second part of the paper we employ similar techniques to study the periodic homogenization of quasi-monotone systems of fully nonlinear second-order uniformly parabolic equations. Finally, some examples are discussed.
Keywords
Cite
@article{arxiv.1109.4136,
title = {Continuous dependence estimates and homogenization of quasi-monotone systems of fully nonlinear second order parabolic equations},
author = {Fabio Camilli and Claudio Marchi},
journal= {arXiv preprint arXiv:1109.4136},
year = {2012}
}