Existence and regularity of random attractors for stochastic evolution equations driven by rough noise
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910307882893312 |
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| author | Neamtu, Alexandra Seitz, Tim |
| author_facet | Neamtu, Alexandra Seitz, Tim |
| contents | This work establishes the existence and regularity of random pullback attractors for parabolic partial differential equations with rough nonlinear multiplicative noise under natural assumptions on the coefficients. To this aim, we combine tools from rough path theory and random dynamical systems.~An application is given by partial differential equations with rough boundary noise, for which flow transformations are not available. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14235 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence and regularity of random attractors for stochastic evolution equations driven by rough noise Neamtu, Alexandra Seitz, Tim Probability Analysis of PDEs Dynamical Systems 60G22, 60L20, 60L50, 37H05, 37L55 This work establishes the existence and regularity of random pullback attractors for parabolic partial differential equations with rough nonlinear multiplicative noise under natural assumptions on the coefficients. To this aim, we combine tools from rough path theory and random dynamical systems.~An application is given by partial differential equations with rough boundary noise, for which flow transformations are not available. |
| title | Existence and regularity of random attractors for stochastic evolution equations driven by rough noise |
| topic | Probability Analysis of PDEs Dynamical Systems 60G22, 60L20, 60L50, 37H05, 37L55 |
| url | https://arxiv.org/abs/2401.14235 |