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

Authors :
Baroni, Paolo
Lindfors, Casimir
Publication Year :
2015

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.<br />Comment: 32 pages

Subjects

Subjects :
Mathematics - Analysis of PDEs

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1509.01359
Document Type :
Working Paper