Uniform decay of the solution to a wave equation with memory conditions on the boundary

Uniform decay of the solution to a wave equation with memory conditions on the boundary

A wave equation with variable coefficients in principal part and memory conditions on the boundary is considered. The Riemannian geometry method is applied to prove the exponential decay of the energy provided the relaxation function also decays exponentially.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Nonlinear analysis 2010-10, Vol.73 (7), p.2213-2220
Hauptverfasser: Wu, Jieqiong, Li, Shengjia, Chai, Shugen
Format: Artikel
Sprache:eng
Schlagworte:
Boundaries
Boundary memory conditions
Decay
Exact sciences and technology
Mathematical analysis
Mathematics
Nonlinearity
Partial differential equations
Riemannian geometry method
Sciences and techniques of general use
Variable coefficients
Wave equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A wave equation with variable coefficients in principal part and memory conditions on the boundary is considered. The Riemannian geometry method is applied to prove the exponential decay of the energy provided the relaxation function also decays exponentially.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2010.05.050