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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…
A Law of Large Numbers for interacting diffusions via a mild formulation
Florian Bechtold, Fabio Coppini
Consider a system of weakly interacting particles driven by independent Brownian motions. In many instances, it is well known that the empirical measure converges to the soluti…
Strong solutions of semilinear SPDEs with unbounded diffusion
Florian Bechtold
We prove a modification to the classical maximal inequality for stochastic convolutions in 2-smooth Banach spaces using the factorization method. This permits to study semilinear s…