Propagation of Gevrey regularity for solution of non-cutoff Boltzmann equation. (October 2022)

• Record Type: Journal Article
• Authors: Liu, Lvqiao
• Is Part Of: Nonlinear analysis. Volume 67(2022)
• Publication Date: 2022-10
• Subjects: Boltzmann equation -- Gevrey regularity -- Non-cutoff; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2022.103607
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we focus on the Gevrey regularity of the solution to non-cutoff Boltzmann equation. We prove the propagation of Gevrey regularity for γ < 0, this extends the result of Desvillettes et al. (2009) on the case of Maxwellian molecules. Our proof relies on the elementary L 2 weighted estimate.