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

Paolo Baroni*, Casimir Lindfors

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

19 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)593-624
JournalANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Volume34
Issue number3
DOIs
Publication statusPublished - 2017
MoE publication typeA1 Journal article-refereed

Keywords

  • Cauchy-Dirichlet problem
  • Degenerate/singular parabolic equations
  • General growth conditions
  • Lipschitz regularity

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