ANNALI DELL'UNIVERSITA' DI FERRARA

, Volume 61, Issue 2, pp 381–394 | Cite as

General decay of solutions for damped wave equation of Kirchhoff type with density in \(\mathbb {R}^{n}\)

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Abstract

In order to compensate the lack of Poincare’s inequality in \(\mathbb {R}^{n}\) and for wider class of relaxation functions, we are going to use weighted spaces to establish a very general decay rate of solutions of viscoelastic wave equations in Kirchhoff-type.

Keywords

Lyapunov function Viscoelastic Kirchhoff type  Density Decay rate Weighted spaces 

Mathematics Subject Classification

35L05 35L70 35B05 
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Notes

Acknowledgments

The author wish to thank deeply the anonymous referee for his/here useful remarks and his/here careful reading of the proofs presented in this paper.

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Copyright information

© Università degli Studi di Ferrara 2015

Authors and Affiliations

  1. 1.Laboratory LAMAHIS, Department of MathematicsUniversity 20 Août 1955-SkikdaSkikdaAlgeria

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