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1. The Cauchy–Dirichlet problem for a general class of parabolic equations.

Author

Baroni, Paolo and Lindfors, Casimir

Subjects
*CAUCHY problem, *DIRICHLET problem, *PARABOLIC differential equations, *LIPSCHITZ spaces, *LAPLACIAN operator
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 p -Laplacian, but extending it at a wide scale. We employ a regularization technique of viscosity-type that we find interesting in itself. [ABSTRACT FROM AUTHOR]

Published
2017
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