Výsledky vyhledávání - "Sapountzoglou, Niklas"

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Convergence rates for a finite volume scheme of the stochastic heat equation

Autor: Sapountzoglou, Niklas, Zimmermann, Aleksandra

In this contribution, we provide convergence rates for a finite volume scheme of the stochastic heat equation with multiplicative Lipschitz noise and homogeneous Neumann boundary conditions (SHE). More precisely, we give an error estimate for the $L^

Externí odkaz: http://arxiv.org/abs/2404.05655

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Stochastic pseudomonotone parabolic obstacle problem: well-posedness $\&$ Lewy-Stampacchia's inequalities

Autor: Sapountzoglou, Niklas, Tahraoui, Yassine, Vallet, Guy, Zimmermann, Aleksandra

We consider obstacle problems for nonlinear stochastic evolution equations. More precisely, the leading operator in our equation is a nonlinear, second order pseudomonotone operator of Leray-Lions type. The multiplicative noise term is given by a sto

Externí odkaz: http://arxiv.org/abs/2305.16090

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

Autor: Sapountzoglou, Niklas, Zimmermann, Aleksandra

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

Externí odkaz: http://arxiv.org/abs/2102.12414

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

Autor: Sapountzoglou, Niklas, Zimmermann, Aleksandra

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

Externí odkaz: http://arxiv.org/abs/1908.11186

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

Autor: Sapountzoglou, Niklas, Zimmermann, Aleksandra

We consider a p-Laplace evolution problem with stochastic forcing on a bounded domain D ⊂ Rd with homogeneous Dirichlet boundary conditions for 1 < p < ∞. The additive noise term is given by a stochastic integral in the sense of Itô. The technic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=unidue___bib::2a1c72407909e19a8ef319eb320ea4b1
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85101346621

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