Obstacle problem for a class of parabolic equations of generalized p-Laplacian type

Research output: Contribution to journalArticleScientificpeer-review

Researchers

  • Casimir Lindfors

Research units

Abstract

We study nonlinear parabolic PDEs with Orlicz-type growth conditions. The main result gives the existence of a unique solution to the obstacle problem related to these equations. To achieve this we show the boundedness of weak solutions and that a uniformly bounded sequence of weak supersolutions converges to a weak supersolution. Moreover, we prove that if the obstacle is continuous, so is the solution.

Details

Original languageEnglish
Pages (from-to)5499-5540
Number of pages42
JournalJournal of Differential Equations
Volume261
Issue number10
Publication statusPublished - 15 Nov 2016
MoE publication typeA1 Journal article-refereed

    Research areas

  • Degenerate/singular parabolic equations, General growth conditions, Obstacle problem

ID: 9198300