EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR NONLINEAR EVOLUTION EQUATION OF FOURTH ORDER  

作　　者：Chen Xiangyingof Fundamental Courses,Zhengzhou Electric Power College,Zhengzhou 450004. 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2001年第3期251-258,共8页高校应用数学学报（英文版）（B辑）

基　　金：the National Natural Science Foundation of China(1 0 0 71 0 74) and the Natural ScienceFoundation of Henan Provinc

摘　　要：The existence and uniqueness of classical global solutions and the nonexistence of global solutions to the first boundary value problem and the second boundary value problem for the equation u tt -a 1u xx -a 2u xxt -a 3u xxtt =φ(u x ) x are proved.The existence and uniqueness of classical global solutions and the nonexistence of global solutions to the first boundary value problem and the second boundary value problem for the equation u tt -a 1u xx -a 2u xxt -a 3u xxtt =φ(u x ) x are proved.

关 键 词：Nonlinear hyperbolic equation initial boundary value problem classical global soliton blow up. 

分 类 号：O175[理学—数学]