On the radius of analyticity and Gevrey regularity for the Boltzmann equation
Analysis of PDEs
2026-01-21 v1
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.
Keywords
Cite
@article{arxiv.2601.13560,
title = {On the radius of analyticity and Gevrey regularity for the Boltzmann equation},
author = {Wei-Xi Li and Lvqiao Liu and Hao Wang},
journal= {arXiv preprint arXiv:2601.13560},
year = {2026}
}
Comments
56 pages