Decay rate of solutions to the Cauchy problem for a coupled system of viscoelastic wave equations with a strong delay in Rⁿ
"Using weighted spaces, we establish a general decay rate properties of solutions as T → ∞ for a coupled system of viscoelastic wave equations in Rⁿ under some conditions on g1, g2, φ. We exploit a density function to introduce weighted spaces for solutions and using an appropriate Lyapunov fun...
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Veröffentlicht in: | Studia Universitatis Babeș-Bolyai. Mathematica 2023-01, Vol.68 (4), p.895-905 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | "Using weighted spaces, we establish a general decay rate properties of solutions as T → ∞ for a coupled system of viscoelastic wave equations in Rⁿ under some conditions on g1, g2, φ. We exploit a density function to introduce weighted spaces for solutions and using an appropriate Lyapunov function. Keywords: Lyapunov function, relaxation function, density, decay rate, weighted spaces." |
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ISSN: | 0252-1938 2065-961X |
DOI: | 10.24193/subbmath.2023.4.16 |