Stability of the Poincaré-Korn inequality
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916232660254720 |
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| author | Courtade, Thomas A. Fathi, Max |
| author_facet | Courtade, Thomas A. Fathi, Max |
| contents | We resolve a question of Carrapatoso et al. on Gaussian optimality for the sharp constant in Poincaré-Korn inequalities, under a moment constraint. We also prove stability, showing that measures with near-optimal constant are quantitatively close to standard Gaussian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01441 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of the Poincaré-Korn inequality Courtade, Thomas A. Fathi, Max Analysis of PDEs Functional Analysis Probability We resolve a question of Carrapatoso et al. on Gaussian optimality for the sharp constant in Poincaré-Korn inequalities, under a moment constraint. We also prove stability, showing that measures with near-optimal constant are quantitatively close to standard Gaussian. |
| title | Stability of the Poincaré-Korn inequality |
| topic | Analysis of PDEs Functional Analysis Probability |
| url | https://arxiv.org/abs/2405.01441 |