一类四阶非线性波动方程整体解的存在性

Existence of global solutions for a kind of fourth order nonlinear wave equartions

借助线性问题的衰减估计,在一适当的Banach空间,利用整体迭代法证明了一类非线性四阶波动方程Cauchy问题整体解的存在性.

In this paper, Existence of its global solutions of Cauchy problem for some semilinear fourth order wave equations are proved by global iterative method,with the help of decay estimates of linear problem in some appropriate Banach Space.