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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2005; 42(1): 37-52

Printed January 1, 2005

Copyright © The Korean Mathematical Society.

Uniform decay of solutions for viscoelastic problem with nonlinear boundary damping and memory term

Jeong Ja Bae

University of Ulsan

Abstract

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We consider the existence of solutions of viscoelastic degenerate problem of Kirchho type with nonlinear boundary damping and memory term. Moreover, we consider the uniform decay of the energy for the problem.

Keywords: degenerate problem, Kirchho type, uniform decay, energy

MSC numbers: 35L70, 35L15, 65M60

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