Renormalized solutions for stochastic $p$-Laplace equations with $L^1$-initial data

Aleksandra Zimmermann
Essen University

Date(s) : 11/10/2022   iCal
11 h 00 min - 12 h 00 min

We consider a p-Laplace evolution problem with multiplicative stochastic perturbation on a bounded domain D ⊂ Rd with homogeneous Dirichlet boundary conditions for 1 < p < ∞. The random initial data is merely integrable. Consequently, the key estimates are available with respect to truncations of the solution. We introduce the notion of renormalized solutions for multiplicative stochastic p-Laplace equations with L1-initial data and study existence and uniqueness of solutions in this framework.

Joint work with Niklas Sapountzoglou, University of Duisburg-Essen

Site Nord, CMI, Salle de Séminaire R164 (1er étage)


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