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.
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The authors would like to thank the reviewer’s valuable comments.
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This work was supported by the National Natural Science Foundation of China (No. 11831011).
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Li, T., Rao, B. A Note on the Indirect Controls for a Coupled System of Wave Equations. Chin. Ann. Math. Ser. B 43, 359–372 (2022). https://doi.org/10.1007/s11401-022-0328-3
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DOI: https://doi.org/10.1007/s11401-022-0328-3