39 citations · 142 across the 19 of their papers we have counts for
8 papers · 1 filter
Improved regularity for the stochastic fast diffusion equation
Ioana Ciotir, Dan Goreac, Jonas M. Tölle
We prove that the solution to the singular-degenerate stochastic fast-diffusion equation with parameter , with zero Dirichlet boundary conditions on a bounded domain in…
Stability and moment estimates for the stochastic singular -Laplace equation
Florian Seib, Wilhelm Stannat, Jonas M. Tölle
We study stability, long-time behavior and moment estimates for stochastic evolution equations with additive Wiener noise and with singular drift given by a divergence type quasili…
The stochastic Klausmeier system and a stochastic Schauder-Tychonoff type theorem
Erika Hausenblas, Jonas M. Tölle
On the one hand, we investigate the existence and pathwise uniqueness of a nonnegative martingale solution to the stochastic evolution system of nonlinear advection-diffusion equat…
A gradient flow formulation for the stochastic Amari neural field model
Christian Kuehn, Jonas M. Tölle
We study stochastic Amari-type neural field equations, which are mean-field models for neural activity in the cortex. We prove that under certain assumptions on the coupling kernel…
Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions
Jonas M. Tölle
We prove existence and uniqueness of solutions to a nonlinear stochastic evolution equation on the -dimensional torus with singular -Laplace-type or total variation flow-type…
Nonlinear stochastic partial differential equations with singular diffusivity and gradient Stratonovich noise
Ioana Ciotir, Jonas M. Tölle
We study existence and uniqueness of a variational solution in terms of stochastic variational inequalities (SVI) to stochastic nonlinear diffusion equations with a highly singular…
Stability of solutions to stochastic partial differential equations
Benjamin Gess, Jonas M. Tölle
We provide a general framework for the stability of solutions to stochastic partial differential equations with respect to perturbations of the drift. More precisely, we consider s…
Invariant measures for monotone SPDE's with multiplicative noise term
A. Es-Sarhir, M. Scheutzow, J. M. Tölle +1
We study diffusion processes corresponding to infinite dimensional semilinear stochastic differential equations with local Lipschitz drift term and an arbitrary Lipschitz diffusion…