Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2020; 35(1): 321-338

Online first article December 17, 2019      Printed January 31, 2020

https://doi.org/10.4134/CKMS.c180476

Copyright © The Korean Mathematical Society.

Global existence and asymptotic behavior of a plate equation with a constant delay term and logarithmic nonlinearities

Melouka Remil

Djillali Liabes University

Abstract

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In this paper, we investigate the viscoelastic plate equation with a constant delay term and logarithmic nonlinearities. Under some conditions, we will prove the global existence. Furthermore, we use weighted spaces to establish a general decay rate of solution.

Keywords: Global existence, logarithmic nonlinearities, stability, plate equations

MSC numbers: 35Axx

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