Well-posedness and exponential stability for the logarithmic Lamé system with a time delay

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Yüksekkaya H., Pişkin E.

APPLICABLE ANALYSIS, vol.103, no.2, pp.506-518, 2024 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 103 Issue: 2
  • Publication Date: 2024
  • Journal Name: APPLICABLE ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.506-518
  • Hakkari University Affiliated: No

Abstract

This paper is concerned with the initial-boundary value problem for a logarithmic

Lamé system with a time delay in a bounded domain. We prove

the well-posedness of the system by utilizing the semigroup theory. Then,

we prove the existence of global solutions by using the well-depth method.

In addition, we establish an exponential stability decay result under appropriate

assumptions on the weight of the time delay and that of frictional

damping.