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Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2012

Continuous dependence estimates and homogenization of quasi-monotone systems of fully nonlinear second order parabolic equations

Résumé

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 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.

Dates et versions

hal-00724760 , version 1 (22-08-2012)

Identifiants

Citer

Fabio Camilli, Claudio Marchi. Continuous dependence estimates and homogenization of quasi-monotone systems of fully nonlinear second order parabolic equations. Nonlinear Analysis: Theory, Methods and Applications, 2012, 75 (13), pp.5103-5118. ⟨10.1016/j.na.2012.04.026⟩. ⟨hal-00724760⟩
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