一类非线性波动方程整体解的不存在性

Nonexistence of Global Solution of a Fourth-order Nonlinear Wave Equation

摘要:

运用乘子方法和"potentialwell"方法研究了一类四阶非线性波动方程,证明了当问题的初值满足一定条件时,问题一定不存在整体解。

关键词:乘子方法;potentialwell方法;整体解的不存在性

Abstract:

In this paper the multiplier method and "potential well" methods are used to study a fourth order wave equation.It is proved that if its initial energy satisfies some conditions,then the problem has no global solution.

Key words:multiplier method;";potential well"; mothod;nonexistence of global solution