Abstract
<p style='text-indent:20px;'>This paper is concerned with initial and boundary value problem of a nonclassical diffusion equation in solids. We first establish uniform decay estimates which are independent of the viscosity coefficient and prove new existence and uniqueness results for solutions of the problem under some reasonable assumptions. Then we show that it has a global pullback attractor. In the periodic case, we demonstrate that the attractor is periodic and forward attracting; furthermore, it contains at least a periodic solution.</p>
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