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arXiv · 2601.13560

On the radius of analyticity and Gevrey regularity for the Boltzmann equation

Wei-Xi Li·Lvqiao Liu·Hao Wang
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Abstract

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.

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Wei-Xi Li, Lvqiao Liu, Hao Wang. 2026-01-20. On the radius of analyticity and Gevrey regularity for the Boltzmann equation. https://arxiv.org/abs/2601.13560

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