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arXiv · 2501.07353

Well-posedness of a time discretization scheme for a stochastic p-Laplace equation with Neumann boundary conditions

Caroline Bauzet·Kerstin Schmitz·Cédric Sultan·Aleksandra Zimmermann
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Abstract

In this contribution, we are interested in the analysis of a semi-implicit time discretization scheme for the approximation of a parabolic equation driven by multiplicative colored noise involving a $p$-Laplace operator (with $p\geq 2$), nonlinear source terms and subject to Neumann boundary conditions. Using the Minty-Browder theorem, we are able to prove the well-posedness of such a scheme.

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Caroline Bauzet, Kerstin Schmitz, Cédric Sultan, Aleksandra Zimmermann. 2025-01-13. Well-posedness of a time discretization scheme for a stochastic p-Laplace equation with Neumann boundary conditions. https://arxiv.org/abs/2501.07353

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