The Cauchy–Dirichlet problem for a general class of parabolic equations
Paolo Baroni
Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli “Federico II”, I-80125 Naples, ItalyCasimir Lindfors
Department of Mathematics and Systems Analysis, Aalto University, P.O. Box 11100, 00076 Aalto, Finland
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.
Cite this article
Paolo Baroni, Casimir Lindfors, The Cauchy–Dirichlet problem for a general class of parabolic equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), no. 3, pp. 593–624
DOI 10.1016/J.ANIHPC.2016.03.003