4 papers
The Neumann problem for a multivalued p-Laplace equation of Allen-Cahn type with a multiplicative stochastic force
C. Bauzet, F. Lebon, K. Schmitz +2
In this paper, we consider a parabolic problem with constraint written as a differential inclusion, driven by a multiplicative colored noise and involving a p-Laplace operator (for…
Well-posedness of a time discretization scheme for a stochastic p-Laplace equation with Neumann boundary conditions
Caroline Bauzet, Kerstin Schmitz, Cédric Sultan +1
In this contribution, we are interested in the analysis of a semi-implicit time discretization scheme for the approximation of a parabolic equation driven by multiplicative colored…
Well-posedness of stochastic evolution equations with Hölder continuous noise
Kerstin Schmitz, Aleksandra Zimmermann
We show existence and pathwise uniqueness of probabilistically strong solutions to a pseudomonotone stochastic evolution problem on a bounded domain , $d\in…
On a finite-volume approximation of a diffusion-convection equation with a multiplicative stochastic force
Caroline Bauzet, Kerstin Schmitz, Aleksandra Zimmermann
We address an original approach for the convergence analysis of a finite-volume scheme for the approximation of a stochastic diffusion-convection equation with multiplicative noise…