Exact Boundary Controllability of Weak Solutions for a Kind of First Order Hyperbolic System——The Constructive Method

作     者：Xing LU Tatsien LI Xing LU;Tatsien LI

作者机构：School of MathematicsSoutheast UniversityNanjing 211189China School of Mathematical SciencesFudan UniversityShanghai 200433China Shanghai Key Laboratory for Contemporary Applied Mathematic Nonlinear Mathematical Modeling and Methods Laboratory 

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

年 卷 期：2021年第42卷第5期

页      面：643-676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：supported by the National Natural Science Foundation of China(Nos.11831011,11901082) the Natural Science Foundation of Jiangsu Province(No.BK20190323) the Fundamental Research Funds for the Central Universities of China 

主　　题：First order linear hyperbolic system Exact boundary controllability Exact boundary observability Constructive method 

摘      要：In this paper the authors first present the definition and some properties of weak solutions to 1-D first order linear hyperbolic systems. Then they show that the constructive method with modular structure originally given in the framework of classical solutions is still very powerful and effective in the framework of weak solutions to prove the exact boundary(null) controllability and the exact boundary observability for first order hyperbolic systems.