Abstract
This paper is concerned with a linear viscoelastic plate model based on the Reissner-Mindlin assumption on the displacements. The initial-boundary-value problems are formulated and some qualitative results are established concerning the solutions of such problems. In fact, appropriate uniqueness and continuous data dependence results are established under various constraint restrictions upon the relaxation functions. The spatial behaviour of solutions is also studied. By assuming that the external given data have a compact support D T on the time interval [0, T], the spatial behaviour of the solution is completely described throughout the plate without the support D T .
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