Abstract
By means of the existence and uniqueness of semi-global C 1 solution to the mixed initial-boundary value problem with general nonlinear boundary conditions for first order quasilinear hyperbolic systems with zero eigenvalues, the local exact boundary controllability for higher order quasilinear hyperbolic equations is established.
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Lixin, Y. Exact boundary controllability for higher order quasilinear hyperbolic equations. Appl. Math. Chin. Univ. 20, 127–141 (2005). https://doi.org/10.1007/s11766-005-0045-1
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DOI: https://doi.org/10.1007/s11766-005-0045-1