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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
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…