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| Exact Boundary Synchronization by Groups for a Kind of System of Wave Equations Coupled with Velocities* |
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Citation： |
Xing LU,Tatsien LI.Exact Boundary Synchronization by Groups for a Kind of System of Wave Equations Coupled with Velocities*[J].Chinese Annals of Mathematics B,2023,44(1):17~34 |
| Page view： 853
Net amount： 696 |
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. |
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| Abstract： |
This paper deals with the exact boundary controllability and the exact boundary synchronization for a 1-D system of wave equations coupled with velocities. These problems can not be solved directly by the usual HUM method for wave equations, however, by transforming the system into a first order hyperbolic system, the HUM method for 1-D first order hyperbolic systems, established by Li-Lu (2022) and Lu-Li (2022), can be applied to get the corresponding results. |
Keywords： |
Exact boundary controllability, Exact boundary synchronization, Coupled system of wave equations, HUM method |
Classification： |
93B05, 93C20, 35L53, 37N35 |
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