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Uniform Compact Attractors for a Nonlinear Non-Autonomous Equation of Viscoelasticity 被引量:4
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作者 QIN Yuming DENG Shuxian SCHULZE Bert Wolfgang 《Journal of Partial Differential Equations》 2009年第2期153-198,共46页
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 ... 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 onedimensional 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. 展开更多
关键词 Exponential stability absorbing set C0-SEMIGROUP uniform compact attractor
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