8 citations · 10 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
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…