摘要
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.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2007年第1期53-57,共5页
Journal of Sichuan Normal University(Natural Science)
关键词
整体迭代法
四阶波动方程
整体经典解
Global iterative method
Fourth order wave equation
Global classical solution