Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (2): 229-235.

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Attractor for a Fourth-order Equation in the Whole Line

  

  1. College of Mathematics and Information Science, Wenzhou Normal College, Wenzhou 325027, China; Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, China
  • Received:2003-06-01 Online:2006-06-30 Published:2023-12-06
  • About author:ZHAO Cai-di(1977-),male,native of Yangxin,Hubei,a lecturer of Wenzhou Normal College, engages in partial differential equation;LI Yong-sheng(1965-),male,native of Nanzhang,Hubei,a professor of South China University of Technology,engages in partial differential equation.
  • Supported by:
     Supported by the Natural Science Foundation of China(10001013); Supported by the NSF Zhejiang Province(M103043); Supported by NSF of Wenzhou Normal College NSF(2003Y16);

Abstract:

This paper studies the long time behavior of the following Cauchy problem The authors prove the existence of global attractor by showing the corresponding operator semigroup is asymptotically compact.

Key words: global , attractor;fourth-order , equations;whole , line

CLC Number: