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arXiv:1509.01359 [math.AP]AbstractReferencesReviewsResources

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

Paolo Baroni, Casimir Lindfors

Published 2015-09-04Version 1

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.

Comments: 32 pages
Categories: math.AP
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