Dispersive estimates for kinetic transport equation in Besov spaces. Issue 4 (4th March 2023)

• Record Type: Journal Article
• Authors: He, Cong; Chen, Jingchun; Fang, Houzhang; He, Huan
• Is Part Of: Applicable analysis. Volume 102:Issue 4(2023)
• Page Start: 1123
• Page End: 1131
• Publication Date: 2023-03-04
• Subjects: Dispersive estimates -- kinetic transport equation -- Besov spaces; Primary 42B37 -- Secondary 42B35 -- 35B45 -- 35Q20; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2021.1976756
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : Although Strichartz estimates have been widely applied for the nonlinear dispersive equations like Schr o ¨ dinger equation and wave equation in Besov spaces, it is rare in nonlinear kinetic type equations such as Vlasov-Poisson equation. In this paper, we are concerned about the dispersive estimates for the kinetic transport equation in Besov spaces, which could be applied to establish Strichartz estimates in Besov space and further may be exploited to investigate the solutions for Vlasov-Poisson equation and Boltzmann equation in Besov space.