Global solutions for semilinear Klein–Gordon equations in FLRW spacetimes. (January 2015)

• Record Type: Journal Article
• Authors: Galstian, Anahit; Yagdjian, Karen
• Is Part Of: Nonlinear analysis. Volume 113(2015)
• Page Start: 339
• Page End: 356
• Publication Date: 2015-01
• Subjects: Klein–Gordon equation -- Einstein–de Sitter universe -- de Sitter universe -- Global solutions; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.10.015
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider waves, which obey the semilinear Klein–Gordon equation, propagating in the Friedmann–Lemaître–Robertson–Walker spacetimes. The equations in the de Sitter and Einstein–de Sitter spacetimes are the important particular cases. We show the global in time existence in the energy class of solutions of the Cauchy problem.