Global existence and blow up of the solution for nonlinear Klein-Gordon equation with variable coefficient nonlinear source term-Reference-Cited by-同舟云学术

Global existence and blow up of the solution for nonlinear Klein-Gordon equation with variable coefficient nonlinear source term

Published:2022-01-01 Issue:1 Volume:20 Page:931-945
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Sun Cong¹,Yan Dong Ze²,Zhang Yong Ling³

Affiliation:

1. College of Applied Mathematics, Jilin University of Finance and Economics , Changchun , Jilin 130117 , P. R. China

2. College of Mathematics, Jilin University , Changchun , Jilin 130111 , P.R. China

3. Gongqing Institute of Science and Technology , Nanchang , Jiangxi 332020 , P.R. China

Abstract

Abstract This article is devoted to study the existence of global solutions and finite time blow-up of local solution for nonlinear Klein-Gordon equation with variable coefficient nonlinear source term. By applying the potential well and energy estimation method, in low initial energy and critical initial energy, we derive some sufficient conditions which are global existence and explosion of the solutions for this type of Klein-Gordon equation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0463/pdf

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