Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (2): 139-145.

• Articles • Previous Articles     Next Articles

UPPER SEMICONTINUITY OF ATTRACTORS FOR THE REACTION DIFFUSION EQUATION

Guo Boling, Wang Bixiang   

  1. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China
  • Received:1996-03-06 Revised:1996-10-03 Online:1998-06-25 Published:1998-06-25

Abstract: This paper deals with the reaction diffusion equation in domain Ω=R or Ω=(-L, L) with L<∞. Let AL and A be the global attractor of this equation corresponding to Ω=(-L,L) and Ω=R, respectively. It is showed that the global attractor A is upper semicontinuity at 0 with respect to the sets {AL} in some sense.

Key words: Global attractor, upper semicntinuity, reaction diffusion equation

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