GENERAL DECAY OF ENERGY FOR A VISCOELASTIC EQUATION WITH DAMPING AND SOURCE TERMS

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 functiongand initial data by adopting the perturbed energy method of [4]...

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 16; no. 1; pp. 113 - 128
Main Author Wu, Shun-Tang
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.02.2012
Subjects
Boundary conditions
Damping
Mathematical functions
Polynomials
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Summary: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 functiongand 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. 2010Mathematics Subject Classification: 35B35, 35B40, 35B60. Key words and phrases: Global existence, Asymptotic behavior, Exponential decay, Polynomial decay.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500406531