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

2015/09/04 by Baroni, Paolo, Lindfors, Casimir · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1509.01359

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.

Cited by

• Higher integrability for parabolic PDEs with generalized Orlicz growth

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