摘要
研究了一类带阻尼项和源项的高阶非线性波动方程的初边值问题.首先对算子和非线性项进行假设,接着由Holder不等式、Young不等式和Gronwell不等式,通过抽子序列,应用Galerkin方法及紧致性原理证明了该问题整体解的存在性.
In this paper, under suitable hypotheses on the operator and nonlinear term we study the initial boundary value problem for the nonlinear wave equation of higher order with damping and source terms. Using the Holder inequality, Young inequality and Gronwall inequality, by the classical Galerkin＇s method we establish the global existence of solution via verifying the compactness.
出处
《河南师范大学学报（自然科学版）》
CAS
北大核心
2015年第1期25-28,共4页
Journal of Henan Normal University(Natural Science Edition)
基金
国家自然科学基金联合基金(U1204104)
关键词
阻尼项
非线性波动方程
初边值问题
整体解的存在性
damping term
nonlinear wave equation
initial boundary value problem
global solutions
