Generalized Exact Boundary Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls

Citation:

Yanyan WANG.Generalized Exact Boundary Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls[J].Chinese Annals of Mathematics B,2020,41(4):511~530
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Authors:

Yanyan WANG;

Foundation:

Project supported by the National Natural Science Foundation of China (No. 11831011).
Abstract: This paper deals with the generalized exact boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls in the framework of weak solutions. A necessary and sufficient condition for the generalized exact boundary synchronization is obtained, and some results for its generalized exactly synchronizable states are given.

Keywords:

Generalized exact boundary synchronization, Coupled system of wave equations, Generalized exactly synchronizable state, Dirichlet boundary control

Classification:

93B05, 93C20
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