Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866914356668661760 |
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| author | Konarovskyi, Vitalii Marx, Victor von Renesse, Max |
| author_facet | Konarovskyi, Vitalii Marx, Victor von Renesse, Max |
| contents | Introducing an interpolation method we derive lower bounds for the spectral gap for Brownian motion on general domains with sticky-reflecting boundary diffusion associated to the first nontrivial eigenvalue for the Laplace operator with corresponding Wentzell-type boundary condition. In the manifold case our proofs involve novel applications of the celebrated Reilly formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_00080 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion Konarovskyi, Vitalii Marx, Victor von Renesse, Max Probability Differential Geometry Functional Analysis Primary 26D10, 35A23, 34K08, Secondary 46E35, 53B25, 60J60, 47D07 Introducing an interpolation method we derive lower bounds for the spectral gap for Brownian motion on general domains with sticky-reflecting boundary diffusion associated to the first nontrivial eigenvalue for the Laplace operator with corresponding Wentzell-type boundary condition. In the manifold case our proofs involve novel applications of the celebrated Reilly formula. |
| title | Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion |
| topic | Probability Differential Geometry Functional Analysis Primary 26D10, 35A23, 34K08, Secondary 46E35, 53B25, 60J60, 47D07 |
| url | https://arxiv.org/abs/2106.00080 |