Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (2): 294-305.

• Articles • Previous Articles     Next Articles

Attractors for the Nonclassical Diffusion Equations with Critical Nonlinearity on the Whole Space R3

Zhang Yanjun, Ma Qiaozhen   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070
  • Received:2013-12-17 Revised:2014-06-19 Online:2015-04-25 Published:2015-04-25

Abstract:

We prove the existence of global attractor in H1(R3) for the nonclassical diffusion equation with critical nonlinearity
ututu+f(x,u)=g(x).
The results generalize and improve some results in [15].

Key words: Nonclassical diffusion equation, Critical nonlinearity, Unbounded domain, Global attractor

CLC Number: 

  • O175.27
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