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 Holder 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. (C) 2012 Elsevier Ltd. All rights reserved.
Continuous dependence estimates and homogenization of quasi-monotone systems of fully nonlinear second order parabolic equations
CAMILLI, FABIO;
2012-01-01
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 Holder 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. (C) 2012 Elsevier Ltd. All rights reserved.File in questo prodotto:
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