郑州大学学报（理学版）2011，Vol.43Issue(4)：19-27,9.
一类四阶具阻尼非线性波动方程的初边值问题
Initial Boundary Value Problem for a Class of Damped Nonlinear Wave Equations of Fourth Order
摘要
Abstract
The existence and the uniqueness of the local classical solution and the global classical solution for the following initial boundary value problem for a class of damped nonlinear wave equations of fourth order were studied;{UU-αuxxtt-uxx+βu1+yuxx=ψ(ux)x+f(u)xx-g(u), u(0,t)=u(1,t)=0,t≥0,\u(x,0)=u0(x),ut(x,0)=u1(x),where α,β >0, γ<0 were constants, u(x, t) denoted an unknown function, ψ(s) ,f(s) and g(s) were given nonlinear functions, u0(x) and μ1(x) were given initial value functions.关键词
非线性波动方程/初边值问题/整体解Key words
nonlinear wave equation/ initial boundary value problem/ global solution分类
数理科学引用本文复制引用
高慧敏,陈翔英..一类四阶具阻尼非线性波动方程的初边值问题[J].郑州大学学报（理学版）,2011,43(4):19-27,9.基金项目
国家自然科学基金资助项目,编号10971199 （）
河南省教育厅自然科学基金资助项目,编号2009C110006. （）
