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.