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Exponential stability for a plate equation with p‐Laplacian and memory terms

Exponential stability for a plate equation with p‐Laplacian and memory terms This paper is concerned with the energy decay for a class of plate equations with memory and lower order perturbation of p‐Laplacian type, utt+Δ2u−Δpu+∫0tg(t−s)Δu(s)ds−Δut+f(u)=0inΩ×R+, with simply supported boundary condition, where Ω is a bounded domain of RN, g > 0 is a memory kernel that decays exponentially and f(u) is a nonlinear perturbation. This kind of problem without the memory term models elastoplastic flows. Copyright © 2012 John Wiley & Sons, Ltd. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Methods in the Applied Sciences Wiley

Exponential stability for a plate equation with p‐Laplacian and memory terms

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References (25)

Publisher
Wiley
Copyright
Copyright © 2012 John Wiley & Sons, Ltd.
ISSN
0170-4214
eISSN
1099-1476
DOI
10.1002/mma.1552
Publisher site
See Article on Publisher Site

Abstract

This paper is concerned with the energy decay for a class of plate equations with memory and lower order perturbation of p‐Laplacian type, utt+Δ2u−Δpu+∫0tg(t−s)Δu(s)ds−Δut+f(u)=0inΩ×R+, with simply supported boundary condition, where Ω is a bounded domain of RN, g > 0 is a memory kernel that decays exponentially and f(u) is a nonlinear perturbation. This kind of problem without the memory term models elastoplastic flows. Copyright © 2012 John Wiley & Sons, Ltd.

Journal

Mathematical Methods in the Applied SciencesWiley

Published: Mar 15, 2013

Keywords: ; ; ; ;

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