J. Korean Math. Soc. 2007; 44(4): 1013-1024
Printed July 1, 2007
Copyright © The Korean Mathematical Society.
Jeong Ja Bae and Suk Bong Yoon
University of Ulsan, Dongeui University
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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