Pré-Publication, Document De Travail Année : 2025

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

Résumé

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 ≥ 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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Dates et versions

hal-04877848 , version 1 (09-01-2025)

Identifiants

  • HAL Id : hal-04877848 , version 1

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Caroline Bauzet, Kerstin Schmitz, Cédric Sultan, Aleksandra Zimmermann. Well-posedness of a time discretization scheme for a stochastic p-Laplace equation with Neumann boundary conditions. 2025. ⟨hal-04877848⟩
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