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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2007; 44(4): 1013-1024

Printed July 1, 2007

Copyright © The Korean Mathematical Society.

On uniform decay of wave equation of carrier model subject to memory condition at the boundary

Jeong Ja Bae and Suk Bong Yoon

University of Ulsan, Dongeui University

Abstract

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In this paper we consider the uniform decay for the wave equation of Carrier model subject to memory condition at the boundary. We prove that if the kernel of the memory decays exponentially or polynomially, then the solutions for the problems have same decay rates.

Keywords: existence of solution, uniform decay, wave equation, carrier model, boundary value problem, a priori estimates

MSC numbers: 35B35, 35B40, 35L70

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