Advanced seminar AG Mathematical Modeling
Monday, 15.01.2024 at 17.00, in B7, room 210.
Lecture by Florian Bechtold (Bielefeld) on the topic "A pathwise regularization by noise phenomenon for the evolutionary p-Laplace equation"
Abstract:
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.