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

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 bou...

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Bibliographic Details
Published inJournal of evolution equations Vol. 23; no. 4
Main Authors Bechtold, Florian, Wichmann, Jörn
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2023
Springer Nature B.V
Subjects
Analysis
Laplace equation
Mathematics
Mathematics and Statistics
Regularization
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ISSN1424-3199
1424-3202
DOI10.1007/s00028-023-00926-7

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Summary: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.
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ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-023-00926-7