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