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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.

Copyright © 2012 The Mathematical Society of the Republic of China
Shun-Tang Wu "GENERAL DECAY OF ENERGY FOR A VISCOELASTIC EQUATION WITH DAMPING AND SOURCE TERMS," Taiwanese Journal of Mathematics 16(1), 113-128, (2012). https://doi.org/10.11650/twjm/1500406531
Published: 2012
Vol.16 • No. 1 • 2012
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