Well-posedness and stability of abstract thermoelastic delayed systems
arxiv(2024)
摘要
In this paper, we consider a stabilization problem of a generalized
thermoelastic system (the so called α-β system) with delay in a
part of the coupled system. For each case, we prove the well-posedness of the
corresponding system using semigroup approach, then under some sufficient
conditions we establish some results of exponential and polynomial stability of
the system through a frequency-domain approach. The results are applied to
concrete examples in thermoelasticity.
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