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Exact boundary controllability for a kind of second-order quasilinear hyperbolic systems. (English) Zbl 1270.35301

The author considers the exact boundary controllability for a kind of second-order quasilinear hyperbolic systems. Based on the existence and uniqueness of semi-global \(C^1\) solution and the local exact boundary controllability for first-order quasilinear hyperbolic systems, by as contractive method developed by T. Li [Controllability and observability for quasilinear hyberbolic systems. Beijing: Higher Education Press (2010; Zbl 1198.93003)], he obtained the local exact boundary controllability for this skind of second-order quasilinear hyperbolic systems.

MSC:

35L53 Initial-boundary value problems for second-order hyperbolic systems
93B05 Controllability
35L50 Initial-boundary value problems for first-order hyperbolic systems

Citations:

Zbl 1198.93003
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Full Text: DOI

References:

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