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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2410.19509 |
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| _version_ | 1866909365128134656 |
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| author | Varzaneh, M. Ghani Lahbiri, F. Z. Riedel, S. |
| author_facet | Varzaneh, M. Ghani Lahbiri, F. Z. Riedel, S. |
| contents | In this paper, we develop a way of analyzing the random dynamics of stochastic evolution equations with a non-dense domain. Such problems cover several types of evolution equations. We are particularly interested in evolution equations with non-homogeneous boundary conditions of white noise type. We prove the existence of stable, unstable, and center manifolds around a stationary trajectory by combining integrated semigroup theory and invariant manifold theory. The results are applied to stochastic parabolic equations with white noise at the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19509 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariant Manifolds for Random Parabolic Evolution Equations with almost sectorial operators Varzaneh, M. Ghani Lahbiri, F. Z. Riedel, S. Probability Dynamical Systems In this paper, we develop a way of analyzing the random dynamics of stochastic evolution equations with a non-dense domain. Such problems cover several types of evolution equations. We are particularly interested in evolution equations with non-homogeneous boundary conditions of white noise type. We prove the existence of stable, unstable, and center manifolds around a stationary trajectory by combining integrated semigroup theory and invariant manifold theory. The results are applied to stochastic parabolic equations with white noise at the boundary. |
| title | Invariant Manifolds for Random Parabolic Evolution Equations with almost sectorial operators |
| topic | Probability Dynamical Systems |
| url | https://arxiv.org/abs/2410.19509 |