Strong existence and uniqueness for a class of quasilinear stochastic evolution equations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911526468714496 |
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| author | Bechtel, Sebastian Theewis, Esmée |
| author_facet | Bechtel, Sebastian Theewis, Esmée |
| contents | We establish existence of probabilistically strong solutions and pathwise uniqueness for a class of quasilinear stochastic evolution equations on bounded domains. Our results combine recent weak existence results for quasilinear stochastic evolution equations in an $L^p$-setting (with $p > 2$) with Yamada--Watanabe theory. To establish pathwise uniqueness, we rely on an $L^1$-contraction argument. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17857 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Strong existence and uniqueness for a class of quasilinear stochastic evolution equations Bechtel, Sebastian Theewis, Esmée Probability Analysis of PDEs We establish existence of probabilistically strong solutions and pathwise uniqueness for a class of quasilinear stochastic evolution equations on bounded domains. Our results combine recent weak existence results for quasilinear stochastic evolution equations in an $L^p$-setting (with $p > 2$) with Yamada--Watanabe theory. To establish pathwise uniqueness, we rely on an $L^1$-contraction argument. |
| title | Strong existence and uniqueness for a class of quasilinear stochastic evolution equations |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2603.17857 |