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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.16093 |
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| _version_ | 1866910889429434368 |
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| author | Bormann, Marie |
| author_facet | Bormann, Marie |
| contents | We prove lower bounds for the first non-trivial eigenvalue of the drift Laplacian on manifolds with Wentzell-type boundary condition in terms of some Cheeger-type constants for bulk-boundary interactions. Our results are in the spirit of Cheeger's classical inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16093 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Cheeger-type inequality for the drift Laplacian with Wentzell-type boundary condition Bormann, Marie Probability Analysis of PDEs Differential Geometry Spectral Theory 60J65, 58C40, 35A23 We prove lower bounds for the first non-trivial eigenvalue of the drift Laplacian on manifolds with Wentzell-type boundary condition in terms of some Cheeger-type constants for bulk-boundary interactions. Our results are in the spirit of Cheeger's classical inequality. |
| title | A Cheeger-type inequality for the drift Laplacian with Wentzell-type boundary condition |
| topic | Probability Analysis of PDEs Differential Geometry Spectral Theory 60J65, 58C40, 35A23 |
| url | https://arxiv.org/abs/2503.16093 |