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Decay estimates for the wave equation of p-Laplacian type with dissipation of m-Laplacian type

✍ Scribed by Abbès Benaissa; Soufiane Mokeddem

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
118 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we study decay properties of solutions to the wave equation of p‐Laplacian type with a weak dissipation of m‐Laplacian type. Copyright © 2006 John Wiley & Sons, Ltd.

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✍ Ryo Ikehata 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 105 KB 👁 1 views

## Abstract This paper is concerned with some uniform energy decay estimates of solutions to the linear wave equations with strong dissipation in the exterior domain case. We shall derive the decay rate such as $(1+t)E(t)\le C$\nopagenumbers\end for some kinds of weighted initial data, where __E__(