Exact controllability for a one-dimensional degenerate wave equation in domains with moving boundary

Exact controllability for a one-dimensional degenerate wave equation in domains with moving boundary

In this paper, we study one-dimensional linear degenerate wave equations in domains with moving boundary. We deduce the exact controllability for degenerate wave equation by Hilbert Uniqueness Method when the control acts on the moving boundary. Moreover, an explicit expression for the controllabili...

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Veröffentlicht in:Applied mathematics letters 2021-09, Vol.119, p.107235, Article 107235
Hauptverfasser: Bai, Jinyan, Chai, Shugen
Format: Artikel
Sprache:eng
Schlagworte:
Degenerate wave equation
Exact controllability
Moving boundary
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Zusammenfassung:In this paper, we study one-dimensional linear degenerate wave equations in domains with moving boundary. We deduce the exact controllability for degenerate wave equation by Hilbert Uniqueness Method when the control acts on the moving boundary. Moreover, an explicit expression for the controllability time is given.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2021.107235