The Cauchy-Dirichlet problem for a general class of parabolic equations

preprint2015arXivOpen access

Abstract

We prove regularity results such as interior Lipschitz regularity and boundary continuity for the Cauchy-Dirichlet problem associated to a class of parabolic equations inspired by the evolutionary pp-Laplacian, but extending it at a wide scale. We employ a regularization technique of viscosity-type that we find interesting in itself.

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