A Note on the Singular Limit of the Exact Controllability of Dissipative Wave Equations

作     者：Yuping Tang Xu Zhang Department of Mathematics, Daxian Teacher’s College, Daxian 63500 Sichuan. P. R. China School of Mathematics, Sichuan University. Chengdu 610064. Sichuan. P. R. China Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences Beijing 100080. P. R. China 

作者机构：Department of Mathematics Daxian Teacher's College Daxian 635000 Sichuan P. R. China School of Mathematics Sichuan University Chengdu 610064 Sichuan P. R. China Academy of Mathematics and Systems Sciences Chinese Academy of Sciences Beijing 100080 P. R. China 

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

年 卷 期：2000年第16卷第4期

页      面：601-612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：The work of Yuping Tang was carried out when she visited the "School of Mathematics. Sichuan University" The work of Xu Zhang was partially supported by NSF of China under Grant 19901024 

主　　题：Controllability Singular perturbation Heat equation Wave equation 

摘      要：In this note we analyze the exact controllability of singularly perturbed damped wave equations under more general geometric control condition than that of [1]. We show that the null controllability of the heat equation can be obtained as a singular limit of the exact controllability of such sorts of wave equations.