The Existence and Non-Existence of Global Solutions for a Nonlinear Wave Equation
The Existence and Non-Existence of Global Solutions for a Nonlinear Wave Equation作者机构:Department of Mathematics and Physics Zhengzhou Institute of Aeronautical Industry Management Henan 450015 China
出 版 物:《Journal of Mathematical Research and Exposition》 (数学研究与评论(英文版))
年 卷 期:2009年第29卷第1期
页 面:164-168页
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:Foundation item: the National Natural Science Foundation of China (No. 10671182) the Excellent Youth Teachers Foundation of High College of Henan Province (No. 2006110016)
主 题:nonlinear wave equation initial boundary value problem global solution blow-up of solution.
摘 要:This paper deals with the existence and uniqueness of the global solution of the initial boundary value problem of a class of wave *** the meantime,it gives the sufficient conditions of blow-up of the solution for the problem in finite time.