Exact boundary controllability for 1‐D quasilinear wave equations with dynamical boundary conditions |
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| Authors: | Yue Wang Günter Leugering Tatsien Li |
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| Affiliation: | 1. School of Mathematical Sciences, Fudan University, Shanghai, China;2. Department of Mathematics, Friedrich‐Alexander University, Erlangen, Germany;3. Shanghai Key Laboratory for Contemporary Applied Mathematic;4. Nonlinear Mathematical Modeling and Methods Laboratory, School of Mathematical Sciences, Fudan University, Shanghai, China |
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| Abstract: | By equivalently replacing the dynamical boundary condition by a kind of nonlocal boundary conditions, and noting a hidden regularity of solution on the boundary with a dynamical boundary condition, a constructive method with modular structure is used to get the local exact boundary controllability for 1‐D quasilinear wave equations with dynamical boundary conditions. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | quasilinear wave equation dynamical boundary condition semi‐global C2 solution exact boundary controllability |
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