Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (2): 248-258.

• Articles • Previous Articles     Next Articles

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

Abstract:

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.

CLC Number: 

  • 35K57
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