Exact boundary controllability for non‐autonomous quasilinear wave equations |
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| Authors: | Zhiqiang Wang |
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| Institution: | School of Mathematical Sciences, Fudan University, Shanghai 200433, ChinaSchool of Mathematical Sciences, Fudan University, Shanghai 200433, China=== |
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| Abstract: | In this paper, we first show that quite different from the autonomous case, the exact boundary controllability for non‐autonomous wave equations possesses various possibilities. Then we adopt a constructive method to establish the exact boundary controllability for one‐dimensional non‐autonomous quasilinear wave equations with various types of boundary conditions. Finally, we apply the results to multi‐dimensional quasilinear wave equation with rotation invariance. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | non‐autonomous quasilinear wave equation exact boundary controllability multi‐dimensional wave equation with rotation invariance |
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