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VOL. 64 | 2015 Decay estimates of solutions for nonlinear viscoelastic systems
Priyanjana M. N. Dharmawardane, Tohru Nakamura, Shuichi Kawashima

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

In this paper, we consider a class of second order hyperbolic systems of viscoelasticity in the whole space and show the global existence and sharp decay estimates of solutions under the smallness condition on the initial data. The tools that we use here are the time-weighted energy method and the semigroup argument.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1342.35042
MathSciNet: MR3381304

Digital Object Identifier: 10.2969/aspm/06410377

Subjects:
Primary: 35D10, 35L70, 74G25

Rights: Copyright © 2015 Mathematical Society of Japan

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