Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms  

作　　者：徐润章 赵希人 沈继红 

机构地区：[1]College of Science,Harbin Engineering University [2]College of Automation,Harbin Engineering University,Harbin 150001,P.R.China [3]College of Automation,Harbin Engineering University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第2期259-262,共4页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10271034);the Natural Science Foundation of Heitongjiang Province of China (No.A2007-02)

摘　　要：This paper studies the initial boundary value problem of fourth order wave equation with dispersive and dissipative terms. By using multiplier method, it is proven that the global strong solution of the problem decays to zero exponentially as the time approaches infinite, under a very simple and mild assumption regarding the nonlinear term.This paper studies the initial boundary value problem of fourth order wave equation with dispersive and dissipative terms. By using multiplier method, it is proven that the global strong solution of the problem decays to zero exponentially as the time approaches infinite, under a very simple and mild assumption regarding the nonlinear term.

关 键 词：fourth order wave equation DISPERSIVE DISSIPATIVE asymptotic behaviour 

分 类 号：O175.26[理学—数学]