A Note on the Indirect Controls for a Coupled System of Wave Equations*

Citation:

Tatsien LI,Bopeng RAO.A Note on the Indirect Controls for a Coupled System of Wave Equations*[J].Chinese Annals of Mathematics B,2022,43(3):359~372
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Authors:

Tatsien LI; Bopeng RAO

Foundation:

National Natural Science Foundation of China (No. 11831011).
Abstract: By a procedure of successive projections, the authors decompose a coupled system of wave equations into a sequence of sub-systems. Then, they can clarify the indirect controls and the total number of controls. Moreover, the authors give a uniqueness theorem of solution to the system of wave equations under Kalman’s rank condition.

Keywords:

Indirect controls, Approximate controllability, Coupled system of wave equations

Classification:

93B05, 35L53
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