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Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations

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Abstract

Based on the theory of semi-global classical solutions to quasilinear hyperbolic systems, the authors apply a unified constructive method to establish the local exact boundary (null) controllability and the local boundary (weak) observability for a coupled system of 1-D quasilinear wave equations with various types of boundary conditions.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Long Hu, Fanqiong Ji & Ke Wang

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  1. Long Hu
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  2. Fanqiong Ji
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  3. Ke Wang
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Correspondence to Long Hu.

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Hu, L., Ji, F. & Wang, K. Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations. Chin. Ann. Math. Ser. B 34, 479–490 (2013). https://doi.org/10.1007/s11401-013-0785-9

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  • DOI: https://doi.org/10.1007/s11401-013-0785-9

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