GLOBAL SOLUTIONS AND FINITE TIME BLOW UP FOR DAMPED KLEIN-GORDON EQUATION

作     者：徐润章 丁云华 

作者机构：College of Science Harbin Engineering University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2013年第33卷第3期

页      面：643-652页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China (11101102) Ph.D. Programs Foundation of Ministry of Education of China (20102304120022) the Support Plan for the Young College Academic Backbone of Heilongjiang Province (1252G020) the Natural Science Foundation of Heilongjiang Province (A201014) Science and Technology Research Project of Department of Education of Heilongjiang Province (12521401) Foundational Science Foundation of Harbin Engineering University and Fundamental Research Funds for the Central Universities (HEUCF20131101) 

主　　题：Klein-Gordon equation strongly damped global solutions blow up 

摘      要：We study the Cauchy problem of strongly damped Klein-Gordon equation. Global existence and asymptotic behavior of solutions with initial data in the potential well are derived. Moreover, not only does finite time blow up with initial data in the unstable set is proved, but also blow up results with arbitrary positive initial energy are obtained.