Classical solutions for the Vlasov–Poisson system with damping term. Issue 5 (4th April 2019)

• Record Type: Journal Article
• Authors: Xiao, Meixia; Zhang, Xianwen
• Is Part Of: Applicable analysis. Volume 98:Issue 5(2019)
• Page Start: 867
• Page End: 891
• Publication Date: 2019-04-04
• Subjects: Vlasov–Poisson system -- radiation damping -- classical solution -- perturbation -- quasineutral; 35Q83 -- 35L60 -- 82C21 -- 82D10; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1408073
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: We investigate global existence of classical solution to the three dimensional Vlasov–Poisson system with radiation dampingD f [ 3 ] ( t ) . We prove that a small perturbation of initial datum for a global classical solution verifying certain decay conditions also launches a global solution which has sharp decay. In addition, we prove that a quasineutral initial datum launches a global classical solution.