A. Zimmermann

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20192021

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math.AP2021

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

Niklas Sapountzoglou, Aleksandra Zimmermann

We consider a $p$ -Laplace evolution problem with multiplicative noise on a bounded domain $D \subset R^{d}$ with homogeneous Dirichlet boundary conditions for $1 < p < \infty$ .…

math.AP2020

Entropy solutions of doubly nonlinear fractional Laplace equations

N. Grossekemper, P. Wittbold, A. Zimmermann

In this contribution, we study a class of doubly nonlinear elliptic equations with bounded, merely integrable right-hand side on the whole space $R^{N}$ . The equation is dri…

math.AP2019

Well-posedness for the coupling of a random heat equation with a multiplicative stochastic Barenblatt equation

Caroline Bauzet, Frédéric Lebon, Asghar Ali Maitlo +1

In this contribution, a stochastic nonlinear evolution system under Neumann boundary conditions is investigated. Precisely, we are interested in finding an existence and uniqueness…

math.AP2019

Well-posedness of renormalized solutions for a stochastic $p$ -Laplace equation with $L^{1}$ -initial data

Niklas Sapountzoglou, Aleksandra Zimmermann

We consider a $p$ -Laplace evolution problem with stochastic forcing on a bounded domain $D \subset R^{d}$ with homogeneous Dirichlet boundary conditions for $1 < p < \infty$ . The…

Renormalized solutions for stochastic p-Laplace equations with L1-initial data: The multiplicative case

Entropy solutions of doubly nonlinear fractional Laplace equations

Well-posedness for the coupling of a random heat equation with a multiplicative stochastic Barenblatt equation

Well-posedness of renormalized solutions for a stochastic p-Laplace equation with L1-initial data

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

Well-posedness of renormalized solutions for a stochastic $p$ -Laplace equation with $L^{1}$ -initial data