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

Citation:

Xing LU,Tatsien LI.Exact Boundary Controllability of Weak Solutions for a Kind of First Order Hyperbolic System — The Constructive Method*[J].Chinese Annals of Mathematics B,2021,42(5):643~676
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Authors:

Xing LU; Tatsien LI

Foundation:

National Natural Science Foundation of China (Nos. 11831011,11901082), the Natural Science Foundation of Jiangsu Province (No. BK20190323) and the Fundamental Research Funds for the Central Universities of China.
Abstract: 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.

Keywords:

First order linear hyperbolic system, Exact boundary controllability,Exact boundary observability, Constructive method

Classification:

93B05, 93C20, 35L50
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