C-Wellposedness of the Complete Second Order Abstract Cauchy Problem and Applications

作     者：Mingchu Gao Department of Mathematics,Shanxi Teachers University,Linfen 041004,P.R.China E-mail:mcgao@*** 

作者机构：Department of Mathematics Shanxi Teachers University Linfen P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1999年第15卷第4期

页      面：535-548页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This project is supported by the NNSF of China the Youth Science and Technique Foundation of Shanxi Province China 

主　　题：Abstract Cauchy problem C-semigroup C-wellposedness 

摘      要：In this paper,we first give a sufficient and necessary condition for M= to generate an exponentially bounded =-semigroup and discuss its relations to the C-wellposedness of the complete second order abstract Cauchy problem （（ACP2） for short） in some *** we use these results and those in [1] to discuss the C-（exponential） wellposedness of a kind of （ACP2） with application backgrounds,and develop the results in [2].