A note on finite time blowup for dissipative Klein–Gordon equation. (June 2020)

• Record Type: Journal Article
• Authors: Pang, Yue; Yang, Yanbing
• Is Part Of: Nonlinear analysis. Volume 195(2020)
• Publication Date: 2020-06
• Subjects: 35Q53 -- 35B65 -- 35A01; Klein–Gordon equation -- Finite time blowup -- Dissipative term -- Arbitrarily positive initial energy; 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.2019.111729
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: This is a continuation of the study on an arbitrarily positive initial energy finite time blowup result of the solution to the initial value problem of strongly damped Klein-Gordon equation. Based on an adapted concavity method, both the conclusions and arguments of the present paper are not bounded by the coefficients of dissipative damping terms.