A pathwise regularization by noise phenomenon for the evolutionary p-Laplace equation

Florian Bechtold, Jörn Wichmann

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We study an evolutionary p-Laplace problem whose potential is subject to a translation in time. Provided the trajectory along which the potential is translated admits a sufficiently regular local time, we establish existence of solutions to the problem for singular potentials for which a priori bounds in classical approaches break down, thereby establishing a pathwise regularization by noise phenomena for this nonlinear problem.

Original languageEnglish
Article number76
Number of pages27
JournalJournal of Evolution Equations
Volume23
Issue number4
DOIs
Publication statusPublished - Dec 2023

Cite this