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Uniform compact attractors for a nonlinear non-autonomous equation of viscoelasticitySchulze, Bert-Wolfgang, Qin, Yuming January 2005 (has links)
In this paper we establish the regularity, exponential stability of global (weak) solutions and existence of uniform compact attractors of semiprocesses, which are generated by the global solutions, of a two-parameter family of operators for the nonlinear 1-d non-autonomous viscoelasticity. We employ the properties of the analytic semigroup to show the compactness for the semiprocess generated by the global solutions.
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