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

Florian Bechtold, Jörn Wichmann

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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
Issue number4
Publication statusPublished - Dec 2023

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