Global existence and stability of the wave equation with boundary variable damping

Global existence and stability of the wave equation with boundary variable damping

In this paper, we present the result of global existence of solution for the wave equation with boundary variable damping term. Then, we prove that this global solution is stable. Our study is based on the semi‐groups theory and some integral inequalities.

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Veröffentlicht in:Mathematische Nachrichten 2024-08, Vol.297 (8), p.3064-3079
Hauptverfasser: Imane, Boulmerka, Ilhem, Hamchi
Format: Artikel
Sprache:eng
Schlagworte:
boundary damping term
Damping
global solution
stability
variable exponent
wave equation
Wave equations
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Beschreibung
Zusammenfassung:In this paper, we present the result of global existence of solution for the wave equation with boundary variable damping term. Then, we prove that this global solution is stable. Our study is based on the semi‐groups theory and some integral inequalities.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.202300003