Global attractor for a semilinear strongly degenerate parabolic equation on \({\mathbb{R}^N}\)

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• 作者：Cung The Anh (1)
  
• 关键词：35D35 ; 35K65 ; 35B41 ; Strongly degenerate ; Unbounded domains ; Mild solution ; Global attractor ; Tail ; estimates method ; Sectorial operator ; Lyapunov function
• 刊名：NoDEA : Nonlinear Differential Equations and Applications
• 出版年：2014
• 出版时间：October 2014
• 年：2014
• 卷：21
• 期：5
• 页码：663-678
• 全文大小：288 KB
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• 作者单位：Cung The Anh (1)
  
  1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
  
• ISSN：1420-9004

文摘

The aim of this paper is to prove the existence of the global attractor for a semilinear strongly degenerate parabolic equation on \({\mathbb{R}^N}\) with the locally Lipschitz nonlinearity satisfying a subcritical growth condition.