Uniform Compact Attractors for a Nonlinear Non-Autonomous Equation of Viscoelasticity

• 来源期刊: 偏微分方程(英文版)
• 学科: 数学
• 关键词: Exponential stability absorbing set C0-semigroup uniform compact attractor
• 年，卷（期）: 2009,（2）
• 页码范围: 153-198
• 页数: 46页
• 分类号: O175.27
• 语种: 英文

摘要

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.