Controllability of classical solutions implies controllability of weak solutions for a coupled system of wave equations and its application (Q2802665)
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scientific article; zbMATH DE number 6574154
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Controllability of classical solutions implies controllability of weak solutions for a coupled system of wave equations and its application |
scientific article; zbMATH DE number 6574154 |
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Controllability of classical solutions implies controllability of weak solutions for a coupled system of wave equations and its application (English)
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26 April 2016
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exact boundary controllability
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Dirichlet boundary conditions
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controllability of classical solutions
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controllability of weak solutions
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one space dimension
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The paper is devoted to a coupled system of one-dimensional wave equations with Dirichlet boundary conditions. The main result of the work consists in the proof of the fact that the controllability of classical solutions implies the controllability of weak solutions. By the use of this result, the author establish the necessary conditions for the exact boundary synchronization by two groups in the framework of classical solution for the coupled system of wave equations.
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