On a nonlinear wave equation and the control of an elastic string from one equilibrium location to another (Q1851316)

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scientific article; zbMATH DE number 1846004
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On a nonlinear wave equation and the control of an elastic string from one equilibrium location to another
scientific article; zbMATH DE number 1846004

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    On a nonlinear wave equation and the control of an elastic string from one equilibrium location to another (English)
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    16 December 2002
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    This paper concerns a nonlinear system of wave equations modeling the motion in space of an elastic string. One main purpose of this paper is to provide existence and uniqueness results using the theory of quasilinear hyperbolic systems. The second main target is a controllability result for an elastic string governed by the nonlinear system.
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    existence
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    quasilinear hyperbolic systems
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    uniqueness
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