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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2017; 54(4): 1081-1097

Online first article June 9, 2017      Printed July 1, 2017

https://doi.org/10.4134/JKMS.j160035

Copyright © The Korean Mathematical Society.

Global existence and uniform decay of coupled wave equation of Kirchhoff type in a noncylindrical domain

Tae Gab Ha

Chonbuk National University

Abstract

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In this paper, we consider coupled wave equation of Kirchhoff type in a noncylindrical domain. This work is devoted to prove the existence and uniqueness of global solutions and decay for the energy of solutions.

Keywords: existence of solution, energy decay, noncylindrical domain

MSC numbers: 35B40, 35L05

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