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 bo...
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Zusammenfassung: | 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 non-linear problem. |
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DOI: | 10.48550/arxiv.2209.13448 |