A fairly strong stability result for parabolic quasiminimizers

Yohei Fujishima, Jens Habermann*, Mathias Masson

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In this paper we consider parabolic Q-quasiminimizers related to the p-Laplace equation in Omega(T) : = Omega x (0, T). In particular, we focus on the stability problem with respect to the parameters p and Q. It is known that, if Q -> 1, then parabolic quasiminimizers with fixed initial-boundary data on Omega(T) converge to the parabolic minimizer strongly in L-p(0, T; W-1,W-p(Omega)) under suitable further structural assumptions. Our concern is whether or not we can obtain even stronger convergence. We will show a fairly strong stability result.

Original languageEnglish
Pages (from-to)1269-1282
Number of pages14
JournalMathematische Nachrichten
Volume291
Issue number8-9
DOIs
Publication statusPublished - Jun 2018
MoE publication typeA1 Journal article-refereed

Keywords

  • parabolic equations
  • parabolic quasiminimizers
  • regularity
  • stability
  • DEGENERATE
  • EQUATIONS

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