ON THE CLASSIFICATION OF INITIAL DATAFOR NONLINEAR WAVE EQUATIONS

作     者：GU CHAOHAO(C.H.GU) ＧＵ ＣＨＡＯＨＡＯ(Ｃ．Ｈ．ＧＵ)Ｉｎｓｔｉｔｕｔｅｏｆ Ｍａｔｈｅｍａｔｉｃｓ;ＦｕｄａｎＵｎｉｖｅｒｓｉｔｙ,Ｓｈａｎｇｈａｉ ２００４３３;Ｃｈｉｎａ．Ｅ－ｍａｉｌ:ｇｕｃｈ＠ｆｕｄａｎ．ａｃ．ｃｎ．

作者机构：Institute of Mathematics FudanUniversity China.E-mail:guch 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2002年第23卷第2期

页      面：205-208页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the Chinese SpecialFunds for Major State Basic Research Project"NonlinearScience" 

主　　题：非线性波动方程 原始数据 双曲型Liouville方程 Cauchy问题 光滑解 对偶关系 

摘      要：The purpose of the present paper is to call for attention to the following question: Which of the initial data (nonsmall) admit global smooth solutions to the Cauchy problem for nonlinear wave equations. A few cases and examples are sketched, showing that the general answer of this question may be quite complicated.