Year: 2009
Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 2 : pp. 153–198
Abstract
In this paper we prove the regularity, exponential stability of global solutions and existence of uniform compact attractors of semiprocesses, generated by the global solutions, of a two-parameter family of operators for a nonlinear one-dimensional non-autonomous equation of 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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-JPDE-5252
Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 2 : pp. 153–198
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 46
Keywords: Exponential stability