1 citations · 2 across the 7 of their papers we have counts for
5 papers · 1 filter
Can probability theory really help tame problems in mathematical hydrodynamics?
Martina Hofmanová, Florian Bechtold
Recent years have seen spectacular progress in the mathematical study of hydrodynamic equations. Novel tools from convex integration in particular prove extremely versatile in esta…
A pathwise regularization by noise phenomenon for the evolutionary -Laplace equation
Florian Bechtold, Jörn Wichmann
We study an evolutionary -Laplace problem whose potential is subject to a translation in time. Provided the trajectory along which the potential is translated admits a sufficien…
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…
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…
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…