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2012 GENERAL DECAY OF ENERGY FOR A VISCOELASTIC EQUATION WITH DAMPING AND SOURCE TERMS
Shun-Tang Wu
Taiwanese J. Math. 16(1): 113-128 (2012). DOI: 10.11650/twjm/1500406531

Abstract

The initial boundary value problem for a viscoelastic equation with linear damping and nonlinear source term in a bounded domain is considered. The decay rate of solution energy is discussed under some conditions on relaxation function $g$ and initial data by adopting the perturbed energy method of [4] and modifying the methods of [11, 17]. Decay estimates of the energy function are also given.

Citation

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Shun-Tang Wu. "GENERAL DECAY OF ENERGY FOR A VISCOELASTIC EQUATION WITH DAMPING AND SOURCE TERMS." Taiwanese J. Math. 16 (1) 113 - 128, 2012. https://doi.org/10.11650/twjm/1500406531

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1246.35041
MathSciNet: MR2887855
Digital Object Identifier: 10.11650/twjm/1500406531

Subjects:
Primary: 35B35 , 35B40 , 35B60

Keywords: asymptotic behavior , Exponential decay , global existence , polynomial decay

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 1 • 2012
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