一类四阶非线性波动方程整体经典解的存在性

Existence of Global Classical Solutions for a Kind of Fourth Order Nonlinear Wave Equations

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半线性四阶波动方程Cauchy问题整体经典解的存在性.

In this paper, the existence of global classical solutions of Cauchy problems 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.