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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.PR2023★ 1 cited
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…
math.PR2020
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 $…