Fractional boundary stabilization for a coupled system of wave equations

Fractional boundary stabilization for a coupled system of wave equations

In this paper,we consider a system of a coupled wave equations in the presence of a boundary control of fractional derivative type. We prove well-posedness by using the semigroup theory. Also we establish an optimal decay result by frequency domain method and Borichev-Tomilov theorem.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche 2021-05, Vol.67 (1), p.121-148
Hauptverfasser: Kerdache, Mokhtar, Kesri, Mhamed, Benaissa, Abbes
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Analysis
Boundary control
Geometry
History of Mathematical Sciences
Mathematical analysis
Mathematics
Mathematics and Statistics
Numerical Analysis
Wave equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper,we consider a system of a coupled wave equations in the presence of a boundary control of fractional derivative type. We prove well-posedness by using the semigroup theory. Also we establish an optimal decay result by frequency domain method and Borichev-Tomilov theorem.
ISSN:0430-3202
1827-1510
DOI:10.1007/s11565-021-00362-w