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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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