A boundary estimate for singular parabolic diffusion equations

Ugo Gianazza*, Naian Liao, Teemu Lukkari

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to singular parabolic equations of p-Laplacian type. The estimate is given in terms of a Wiener-type integral, defined by a proper elliptic p-capacity.

Original languageEnglish
Article number33
Number of pages24
JournalNODEA: NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume25
Issue number4
DOIs
Publication statusPublished - Aug 2018
MoE publication typeA1 Journal article-refereed

Keywords

  • Parabolic p-Laplacian
  • Boundary estimates
  • Continuity
  • Elliptic p-capacity
  • Wiener-type integral
  • WEAK SUPERSOLUTIONS
  • DEGENERATE
  • REGULARITY

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