140 citations · 709 across the 61 of their papers we have counts for
9 papers · 1 filter
Supremum estimates for degenerate, quasilinear stochastic partial differential equations
Konstantinos Dareiotis, Benjamin Gess
We prove a priori estimates in for a class of quasilinear stochastic partial differential equations. The estimates are obtained independently of the ellipticity constant…
Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise
Benjamin Fehrman, Benjamin Gess
We prove the pathwise well-posedness of stochastic porous media and fast diffusion equations driven by nonlinear, conservative noise. As a consequence, the generation of a random d…
Density bounds for solutions to differential equations driven by Gaussian rough paths
Benjamin Gess, Cheng Ouyang, Samy Tindel
We consider finite dimensional rough differential equations driven by centered Gaussian processes. Combining Malliavin calculus, rough paths techniques and interpolation inequaliti…
Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations
Sebastian Becker, Benjamin Gess, Arnulf Jentzen +1
The scientific literature contains a number of numerical approximation results for stochastic partial differential equations (SPDEs) with superlinearly growing nonlinearities but,…
Stochastic continuity equations with conservative noise
Benjamin Gess, Scott Smith
The present article is devoted to well-posedness by noise for the continuity equation. Namely, we consider the continuity equation with non-linear and partially degenerate stochast…
Path-by-path regularization by noise for scalar conservation laws
Khalil Chouk, Benjamin Gess
We prove a path-by-path regularization by noise result for scalar conservation laws. In particular, this proves regularizing properties for scalar conservation laws driven by fract…