# Renormalized solutions for stochastic $p$-Laplace equations with $L^1$-initial data: The multiplicative case

@inproceedings{Sapountzoglou2021RenormalizedSF, title={Renormalized solutions for stochastic \$p\$-Laplace equations with \$L^1\$-initial data: The multiplicative case}, author={Niklas Sapountzoglou and Aleksandra Zimmermann}, year={2021} }

We consider a p-Laplace evolution problem with multiplicative noise on a bounded domain D ⊂ R 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 pLaplace equations with L1-initial data and study existence and uniqueness of solutions in this framework.

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