3 papers
math.PR2026
Non-uniqueness of nonlinear Markov processes in the sense of McKean associated with parabolic PDEs
Ehsan Abedi, Florian Bechtold, Marco Rehmeier
We derive a general scheme to construct infinitely many probabilistic counterparts for solutions to nonlinear PDEs by recasting the latter as different nonlinear Fokker--Planck equ…
math.PR2024
On Young regimes for locally monotone SPDEs
Florian Bechtold, Jörn Wichmann
We consider the following SPDE on a Gelfand-triple : Given certain local monotonicity, continuity, coercivity an…
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…