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Controllability for a One-Dimensional Wave Equation in a Non-cylindrical Domain

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Abstract

This paper deals with the controllability for a one-dimensional wave equation with mixed boundary conditions in a non-cylindrical domain. This equation models small vibrations of a string where an endpoint is fixed and the other is moving. As usual, we consider one main control (the leader) and an additional secondary control (the follower). We use Stackelberg–Nash strategies.

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Acknowledgements

The author wants to express his gratitude to the anonymous reviewers for their questions and commentaries; they were very helpful in improving this article.

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  1. Departamento de Matemática, Universidade Federal do Piauí, Teresina, PI, 64049-550, Brazil

    Isaías Pereira de Jesus

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  1. Isaías Pereira de Jesus
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Correspondence to Isaías Pereira de Jesus.

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de Jesus, I.P. Controllability for a One-Dimensional Wave Equation in a Non-cylindrical Domain. Mediterr. J. Math. 16, 111 (2019). https://doi.org/10.1007/s00009-019-1393-z

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  • DOI: https://doi.org/10.1007/s00009-019-1393-z

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