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

Autor: Yüksekkaya, Hazal, Piskin, Erhan, Kafini, Mohammad M., Al-Mahdi, Adel M.
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Zdroj: Applicable Analysis; Feb2024, Vol. 103 Issue 2, p506-518, 13p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index