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.
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Acknowledgements
The author would like to thank Professors Tatsien Li and Bopeng Rao for the valuable discussions.
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Project supported by the National Natural Science Foundation of China (No. 11831011).
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Wang, Y. Generalized Exact Boundary Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls. Chin. Ann. Math. Ser. B 41, 511–530 (2020). https://doi.org/10.1007/s11401-020-0214-9
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DOI: https://doi.org/10.1007/s11401-020-0214-9
Keywords
- Generalized exact boundary synchronization
- Coupled system of wave equations
- Generalized exactly synchronizable state
- Dirichlet boundary control