Calculus of Variations and Geometric Measure Theory
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P. Baroni - C. Lindfors

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

created by baroni on 03 Sep 2015
modified on 31 Aug 2017


Published Paper

Inserted: 3 sep 2015
Last Updated: 31 aug 2017

Journal: Ann. Inst. H. Poincaré Anal. Non Linéaire
Year: 2016
Doi: 10.1016/j.anihpc.2016.03.003

ArXiv: 1509.01359 PDF
Links: Link


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.


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