UPPER SEMICONTINUITY OF ATTRACTORS FOR THE REACTION DIFFUSION EQUATION

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (2): 139-145.

UPPER SEMICONTINUITY OF ATTRACTORS FOR THE REACTION DIFFUSION EQUATION

郭柏灵, 王碧祥

Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China

收稿日期:1996-03-06 修回日期:1996-10-03 出版日期:1998-06-25 发布日期:1998-06-25

UPPER SEMICONTINUITY OF ATTRACTORS FOR THE REACTION DIFFUSION EQUATION

Guo Boling, Wang Bixiang

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

摘要/Abstract

摘要： This paper deals with the reaction diffusion equation in domain Ω=R or Ω=(-L, L) with L<∞. Let A_L 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 {A_L} in some sense.

关键词: Global attractor, upper semicntinuity, reaction diffusion equation

Abstract: This paper deals with the reaction diffusion equation in domain Ω=R or Ω=(-L, L) with L<∞. Let A_L 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 {A_L} in some sense.

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

郭柏灵, 王碧祥. UPPER SEMICONTINUITY OF ATTRACTORS FOR THE REACTION DIFFUSION EQUATION[J]. 数学物理学报(英文版), 1998, 18(2): 139-145.

Guo Boling, Wang Bixiang. UPPER SEMICONTINUITY OF ATTRACTORS FOR THE REACTION DIFFUSION EQUATION[J]. Acta mathematica scientia,Series B, 1998, 18(2): 139-145.

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UPPER SEMICONTINUITY OF ATTRACTORS FOR THE REACTION DIFFUSION EQUATION

UPPER SEMICONTINUITY OF ATTRACTORS FOR THE REACTION DIFFUSION EQUATION

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