Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840464 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 16 Pages |
Abstract
The aim of this paper is to extend the continuous dependence estimates proved by Jakobsen and Karlsen (2002) [3] to quasi-monotone systems of fully nonlinear second order parabolic equations. As a by-product of these estimates, we get an Hölder 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.
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Authors
Fabio Camilli, Claudio Marchi,