Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2014; 51(3): 681-689

Printed May 31, 2014

https://doi.org/10.4134/BKMS.2014.51.3.681

Copyright © The Korean Mathematical Society.

General decay for a semilinear wave equation with boundary frictional and memory conditions

Sun Hye Park

Pusan National University

Abstract

In this paper, we investigate the influence of boundary dissipations on decay property of the solutions for a semilinear wave equation with damping and memory condition on the boundary using the multiplier technique.

Keywords: wave equation, boundary damping, memory condition, general decay rate, Lyapunov functional

MSC numbers: 35L70, 35B40, 35B37