Blow-up of solutions to semilinear wave equations with variable coefficients and boundary

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:374

Article

Zhou, Yi^1,2,3  Han, Wei^1,4 

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Nonlinear Math Modeling & Methods Lab, Shanghai 200433, Peoples R China

[3] Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

[4] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

关键词: Semilinear wave equation;    Critical exponent;    Initial-boundary value problem;    Blow-up;   

DOI  :  10.1016/j.jmaa.2010.08.052

来源: Elsevier

【 摘 要 】

This paper is devoted to studying initial-boundary value problems for semilinear wave equations and derivative semilinear wave equations with variable coefficients on exterior domain with subcritical exponents in n space dimensions. We will establish blow-up results for the initial-boundary value problems. It is proved that there can be no global solutions no matter how small the initial data are, and also we give the life span estimate of solutions for the problems. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free