邵午珊, 盛其荣. 非线性波动方程Cauchy问题整体解的存在唯一性[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1991, (4).DOI:
非线性波动方程Cauchy问题整体解的存在唯一性
摘要
本文讨论了非线性Klein-Gordon方程的Cauchy问题
利用波动算子的Lorentz不变性
在广义Sobolev空间框架下
得到了整体解的存在唯一性。
Abstract
In this papr
Cauchy problem of non-linear Klein-Gordon equation is discussed. By using of the Lorentz invariance of wave operator under the frame of generalized Sobolev space
existence and uniquenss of the entire solution are obtained.