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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.13060 |
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| _version_ | 1866913946052591616 |
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| author | Fathi, Max Iacobelli, Mikaela |
| author_facet | Fathi, Max Iacobelli, Mikaela |
| contents | We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log-concave and log-lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in [22]. This equation is motivated by the gradient flow approach to the problem of quantization of measures introduced in [11]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13060 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponential convergence for ultrafast diffusion equations with log-concave weights Fathi, Max Iacobelli, Mikaela Analysis of PDEs We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log-concave and log-lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in [22]. This equation is motivated by the gradient flow approach to the problem of quantization of measures introduced in [11]. |
| title | Exponential convergence for ultrafast diffusion equations with log-concave weights |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.13060 |