Abstract
In this paper, we consider a viscoelastic plate equation of Moore-Gibson-Thompson viscoelastic plate with heat conduction of Cattaneo type. We investigate the system in bounded and unbounded domains, seeking exponential stability in bounded domains and polynomial decay rates for the Cauchy problem. It turns out that our system is exponentially stable in the bounded domain, while the system has regularity loss in the Cauchy problem. Our results are proved in the sub-critical case $ K>0. $
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