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A Note on the Singular Limit of the Exact Controllability of Dissipative Wave Equations |
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| Authors: | Yuping Tang Xu Zhang |
| Affiliation: | (1) Department of Mathematics, Daxian Teacher's College, Daxian 635000, Sichuan, P. R. China;(2) School of Mathematics, Sichuan University, Chengdu 610064, Sichuan, P. R. China;(3) Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China |
| Abstract: | Abstract In this note we analyze the exact controllability of singularly perturbed damped wave equations under more general geometric control condition than that of [1]. We show that the null controllability of the heat equation can be obtained as a singular limit of the exact controllability of such sorts of wave equations. The work of Yuping Tang was carried out when she visited the “School of Mathematics, Sichuan University”. The work of Xu Zhang was partially supported by NSF of China under Grant 19901024 |
| Keywords: | Controllability Singular perturbation Heat equation Wave equation |
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