Journal of East China Normal University(Natural Sc ›› 2017, Vol. 2017 ›› Issue (2): 8-19.doi: 10.3969/j.issn.1000-5641.2017.02.002

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Strong global attractors for non-damping weak dissipative abstract evolution equation

ZHANG Yu-bao, WANG Xuan   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2016-03-08 Online:2017-03-25 Published:2017-03-23


In this paper, by using the theory of semigroup, contractive function and the method of defining functionals, the existence of the global attractors for nondamping weak dissipative abstract evolution equations with strong solutions in the space V2θ×Vθ×Lμ2(R+;V2θ was obtained when the nonlinear term satisfies the weaker dissipative condition.

Key words: abstract evolution equation, contractive function, global attractor

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