On the radius of analyticity and Gevrey regularity for the Boltzmann equation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917211285749760 |
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| author | Li, Wei-Xi Liu, Lvqiao Wang, Hao |
| author_facet | Li, Wei-Xi Liu, Lvqiao Wang, Hao |
| contents | This paper investigates the non-cutoff Boltzmann equation for hard potentials in a perturbative setting. We first establish a sharp short-time estimate on the radius of analyticity and Gevrey regularity of mild solutions. Furthermore, we obtain a global-in-time radius estimate in Gevrey space. The proof combines hypoelliptic estimates with the macro-micro decomposition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13560 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the radius of analyticity and Gevrey regularity for the Boltzmann equation Li, Wei-Xi Liu, Lvqiao Wang, Hao Analysis of PDEs This paper investigates the non-cutoff Boltzmann equation for hard potentials in a perturbative setting. We first establish a sharp short-time estimate on the radius of analyticity and Gevrey regularity of mild solutions. Furthermore, we obtain a global-in-time radius estimate in Gevrey space. The proof combines hypoelliptic estimates with the macro-micro decomposition. |
| title | On the radius of analyticity and Gevrey regularity for the Boltzmann equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.13560 |