Oberseminar AG Mathematische Modellierung

Montag, 15.01.2024 um 17.00 Uhr, in B7, Raum 210.

Vortrag von Florian Bechtold (Bielefeld) zum Thema "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 bounds in classical approaches break down, thereby establishing a pathwise regularization by noise phenomena for this nonlinear problem.