Exact boundary controllability for higher order quasilinear hyperbolic equations (Q2483754)

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Exact boundary controllability for higher order quasilinear hyperbolic equations
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    Exact boundary controllability for higher order quasilinear hyperbolic equations (English)
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    27 July 2005
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    The goal of this paper is to establish the local exact boundary controllability for higher-order quasilinear hyperbolic equations. The controllability is established by means of the existence and uniqueness of semi-global classical solution to the mixed initial-boundary value problem with general nonlinear boundary conditions for first-order quasilinear hyperbolic systems with zero eigenvalues.
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    semi-global \(C^1\) solution
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    initial-boundary value problem
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    nonlinear boundary conditions
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