A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation
Analysis of PDEs
2023-07-24 v2 Probability
Abstract
We study an evolutionary -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 non-linear problem.
Cite
@article{arxiv.2209.13448,
title = {A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation},
author = {Florian Bechtold and Jörn Wichmann},
journal= {arXiv preprint arXiv:2209.13448},
year = {2023}
}