6 papers
Theoretical analysis of a finite-volume scheme for a stochastic Allen-Cahn problem with constraint
Caroline Bauzet, Cédric Sultan, Guy Vallet +1
The aim of this contribution is to address the convergence study of a time and space approximation scheme for an Allen-Cahn problem with constraint and perturbed by a multiplicativ…
Stochastic pseudomonotone parabolic obstacle problem: well-posedness Lewy-Stampacchia's inequalities
Niklas Sapountzoglou, Yassine Tahraoui, Guy Vallet +1
We consider obstacle problems for nonlinear stochastic evolution equations. More precisely, the leading operator in our equation is a nonlinear, second order pseudomonotone operato…
Stochastic parabolic equations in Musielak-Orlicz spaces with discontinuous in time N-function
Piotr Gwiazda, Jakub Woźnicki, Aneta Wróblewska-KamiÅska +1
We consider a stochastic parabolic partial differential equation with Dirichlet boundary conditions, multiplicative stochastic noise, and a monotone parabolic operator A. The growt…
Convergence rates for a finite volume scheme of the stochastic heat equation
Niklas Sapountzoglou, Aleksandra Zimmermann
In this contribution, we provide convergence rates for a finite volume scheme of the stochastic heat equation with multiplicative Lipschitz noise and homogeneous Neumann boundary c…
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…
A nonlinear stochastic diffusion-convection equation with reflection
Niklas Sapountzoglou, Yassine Tahraoui, Guy Vallet +1
We study a nonlinear, pseudomonotone, stochastic diffusion-convection evolution problem on a bounded spatial domain, in any space dimension, with homogeneous boundary conditions an…