MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION

数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (2): 248-258.

MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION

李艳玲,马逸尘

School of Science, Xi’an Jiaotong University ;Department of Mathematics, Shaanxi Normal University,

出版日期:2005-04-20 发布日期:2005-04-20
基金资助:
This work is supported by the Natural Science Foundation of China(10071048) and the Excellent Young Teachers Program by the MOE of China

MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION

LI Yan-Ling, MA Yi-Chen

Online:2005-04-20 Published:2005-04-20
Supported by:
This work is supported by the Natural Science Foundation of China(10071048) and the Excellent Young Teachers Program by the MOE of China

摘要/Abstract

摘要：

The paper first deals with the existence of the maximal attractor of classical
solution for reaction diffusion equation with dispersion, and gives the sup-norm estimate
for the attractor. This estimate is optimal for the attractor under Neumann boundary
condition. Next, the same problem is discussed for reaction diffusion system with uniformly
contracting rectangle, and it reveals that the maximal attractor of classical solution for
such system in the whole space is only necessary to be established in some invariant region.
Finally, a few examples of application are given.

Abstract:

中图分类号:

35K57

李艳玲, 马逸尘. MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION[J]. 数学物理学报(英文版), 2005, 25(2): 248-258.

LI Yan-Ling, MA Yi-Chen. MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION[J]. Acta mathematica scientia,Series B, 2005, 25(2): 248-258.

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MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION

MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION

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