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math.PR2022★ 1 cited
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation
Florian Bechtold, Fabian A. Harang, Nimit Rana
We study pathwise regularization by noise for equations on the plane in the spirit of the framework outlined by Catellier and Gubinelli (Stochastic Process. Appl., 2016). To this e…
math.PR2022
Regularization by random translation of potentials for the continuous PAM and related models in arbitrary dimension
Florian Bechtold
We study a regularization by noise phenomenon for the continuous parabolic Anderson model with a potential shifted along paths of fractional Brownian motion. We demonstrate that pr…
math.PR2022
Weak solutions for singular multiplicative SDEs via regularization by noise
Florian Bechtold, Martina Hofmanová
We study multiplicative SDEs perturbed by an additive fractional Brownian motion on another probability space. Provided the Hurst parameter is chosen in a specified regime, we esta…