Well-posedness of a time discretization scheme for a stochastic p-Laplace equation with Neumann boundary conditions
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866929674169352192 |
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| author | Bauzet, Caroline Schmitz, Kerstin Sultan, Cédric Zimmermann, Aleksandra |
| author_facet | Bauzet, Caroline Schmitz, Kerstin Sultan, Cédric Zimmermann, Aleksandra |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Well-posedness of a time discretization scheme for a stochastic p-Laplace equation with Neumann boundary conditions Bauzet, Caroline Schmitz, Kerstin Sultan, Cédric Zimmermann, Aleksandra Analysis of PDEs 60H15, 35K55, 35K92 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. |
| title | Well-posedness of a time discretization scheme for a stochastic p-Laplace equation with Neumann boundary conditions |
| topic | Analysis of PDEs 60H15, 35K55, 35K92 |
| url | https://arxiv.org/abs/2501.07353 |