摘要
本文研究一类四阶非线性耗散、色散波动方程的初边值问题得到了问题整体强解的存在性和唯一性，并在一定条件下，研究了解的渐近性质和 ｂｌｏｗ
This paper studies the following initial boundary value problem for a class of fourth order nonlinear dispersive-dissipative wave equations The existence and uniqueness of the global strong solution for the problem are proved by means of the Galerkin method. The asymptotic behavior and 'blow up' Phenomenon of the solution for the problem are investigated under certain conditions.
出处
《应用数学学报》
CSCD
北大核心
2000年第3期385-393,共9页
Acta Mathematicae Applicatae Sinica
关键词
非线性波动方程
色散
耗散
初边值问题
整体强解
Nonlinear wave equations, dispersive, dissipative, initial boundary value problem, global strong solution, asymptotic behavior, blow up
