most citedEntropy solutions for time-fractional porous medium type equations

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2024

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…

math.NA2023

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…

math.AP2023★ 2 cited

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…