8 citations · 10 across the 8 of their papers we have counts for
8 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…
Finite Volume Approximations for Non-Linear Parabolic Problems with Stochastic Forcing
Caroline Bauzet, Flore Nabet, Kerstin Schmitz +1
We propose a two-point flux approximation finite-volume scheme for a stochastic non-linear parabolic equation with a multiplicative noise. The time discretization is implicit excep…
Entropy solutions for time-fractional porous medium type equations
Kerstin Schmitz, Petra Wittbold
In this paper we prove existence of entropy solutions to the time-fractional porous medium type equation, $$\partial_t[k\ast(u-u_0)]-\operatorname{div} (A(t,x)\nablaφ(u))=f\text{ i…
Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise
Caroline Bauzet, Flore Nabet, Kerstin Schmitz +1
We study here the approximation by a finite-volume scheme of a heat equation forced by a Lipschitz continuous multiplicative noise in the sense of Itô. More precisely, we consider…
The stochastic -Laplace equation on
Kerstin Schmitz, Aleksandra Zimmermann
We show well-posedness of the -Laplace evolution equation on with square integrable random initial data for arbitrary and arbitrary space dimension $…