3 papers
math.PR2023
Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion
Florian Bechtold, Fabian A. Harang
We prove a regularization by noise phenomenon for semilinear SPDEs driven by multiplicative cylindrical Brownian motion and singular diffusion coefficient. The analysis is based on…
math.PR2023
On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise
Florian Bechtold, Theresa Lange, Jörn Wichmann
We study the surface quasi-geostrophic equation driven by a generic additive noise process . By means of convex integration techniques, we establish existence of weak solutions…
math.PR2023
A multiparameter Stochastic Sewing lemma and the regularity of local times associated to Gaussian sheets
Florian Bechtold, Fabian A. Harang, Hannes Kern
We establish a multiparameter extension of the stochastic sewing lemma. This allows us to derive novel regularity estimates on the local time of locally non-deterministic Gaussian…