Exact boundary controllability for a kind of second-order quasilinear hyperbolic systems

Ke Wang

doi:10.1007/s11401-011-0683-y

Chinese Annals of Mathematics, Series B ›› 2011, Vol. 32 ›› Issue (6) : 803 -822. DOI: 10.1007/s11401-011-0683-y

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Exact boundary controllability for a kind of second-order quasilinear hyperbolic systems

Ke Wang ¹^,^a

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Abstract

Based on the theory of semi-global C ¹ solution and the local exact boundary controllability for first-order quasilinear hyperbolic systems, the local exact boundary controllability for a kind of second-order quasilinear hyperbolic systems is obtained by a constructive method.

Keywords

First-order quasilinear hyperbolic systems / Second-order quasilinear hyperbolic systems / Exact boundary controllability / Mixed initial-boundary value problem

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Ke Wang. Exact boundary controllability for a kind of second-order quasilinear hyperbolic systems. Chinese Annals of Mathematics, Series B, 2011, 32(6): 803-822 DOI:10.1007/s11401-011-0683-y

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