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

Hazal Yüksekkaya; Erhan Piskin; Mohammad M. Kafini; Adel M. Al-Mahdi

doi:10.1080/00036811.2023.2196993

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

Hazal Yüksekkaya, Erhan Piskin, Mohammad M. Kafini, Adel M. Al-Mahdi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Pages (from-to)	506-518
Number of pages	13
Journal	Applicable Analysis
Volume	103
Issue number	2
DOIs	https://doi.org/10.1080/00036811.2023.2196993
State	Published - 2024

Bibliographical note

Publisher Copyright:
© 2023 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Logarithmic Lamé system
delay term
exponential stability
global existence

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036811.2023.2196993

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abstract = "This paper is concerned with the initial-boundary value problem for a logarithmic Lam{\'e} 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.",

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AU - Piskin, Erhan

AU - Kafini, Mohammad M.

AU - Al-Mahdi, Adel M.

PY - 2024

Y1 - 2024

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AB - 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.

KW - Logarithmic Lamé system

KW - delay term

KW - exponential stability

KW - global existence

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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