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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.00614 |
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| _version_ | 1866916308326547456 |
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| author | Carlen, Eric A. |
| author_facet | Carlen, Eric A. |
| contents | We apply a duality method to prove an optimal stability theorem for the logarithmic Hardy-Littlewood-Sobolev inequality, and we apply it to the estimation of the rate of approach to equilibrium for the critical mass Keller-Segel system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_00614 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability for the logarithmic Hardy-Littlewood-Sobolev Inequality with application to the Keller-Segel system Carlen, Eric A. Functional Analysis Mathematical Physics 49J40 26D10 94A17 We apply a duality method to prove an optimal stability theorem for the logarithmic Hardy-Littlewood-Sobolev inequality, and we apply it to the estimation of the rate of approach to equilibrium for the critical mass Keller-Segel system. |
| title | Stability for the logarithmic Hardy-Littlewood-Sobolev Inequality with application to the Keller-Segel system |
| topic | Functional Analysis Mathematical Physics 49J40 26D10 94A17 |
| url | https://arxiv.org/abs/2312.00614 |