Uniqueness results of a nonlinear stochastic diffusion-convection equation with reflection
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909565189095424 |
|---|---|
| author | Sapountzoglou, Niklas |
| author_facet | Sapountzoglou, Niklas |
| contents | We are interested in the uniqueness of solutions of a nonlinear, pseudomonotone, stochastic diffusion evolution problem with homogeneous Dirichlet boundary conditions with reflection, where the noise term is additive and given by a stochastic Itô integral with respect to a Hilbert space valued cylindrical Wiener process. In fact, since there is no Itô formula available for a solution in general, a general uniqueness result seems not to be available. Nevertheless, assuming more regularity for the solutions or the reflection, we may show some comparison principles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03417 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniqueness results of a nonlinear stochastic diffusion-convection equation with reflection Sapountzoglou, Niklas Analysis of PDEs Probability 35R60, 60H15, 35K55, 35R35 We are interested in the uniqueness of solutions of a nonlinear, pseudomonotone, stochastic diffusion evolution problem with homogeneous Dirichlet boundary conditions with reflection, where the noise term is additive and given by a stochastic Itô integral with respect to a Hilbert space valued cylindrical Wiener process. In fact, since there is no Itô formula available for a solution in general, a general uniqueness result seems not to be available. Nevertheless, assuming more regularity for the solutions or the reflection, we may show some comparison principles. |
| title | Uniqueness results of a nonlinear stochastic diffusion-convection equation with reflection |
| topic | Analysis of PDEs Probability 35R60, 60H15, 35K55, 35R35 |
| url | https://arxiv.org/abs/2504.03417 |