Global existence to the initial–boundary value problem for a system of semilinear wave equations. (November 2016)

• Record Type: Journal Article
• Authors: Nakao, Mitsuhiro
• Is Part Of: Nonlinear analysis. Volume 146(2016)
• Page Start: 233
• Page End: 257
• Publication Date: 2016-11
• Subjects: 35B35 -- 35L70; Energy decay -- Global existence -- Nonlinear wave equation -- Nonlinear dissipation; 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.2016.08.019
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We prove the global existence of finite energy and H 2 solutions for a system of nonlinear wave equations in a bounded domain. One equation of the system has a dissipative term, while another equation has no dissipative mechanism. To derive the delicate a priori estimates we employ a 'loan' method.