Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (2): 183-192.

• Articles • Previous Articles     Next Articles

A Reaction Diffusion's Free Boundary Problem

 SHEN Jian-Zhong, YI Fa-Huai   

  1. 西安交通大学理学院 西安 710049 华南师范大学数学系 广州 510631
  • Online:2003-04-25 Published:2003-04-25
  • Supported by:

    国家自然科学基金资助(10071024); 广东省自然科学基金资助项目(000671)

Abstract:

In this paper, a reaction diffusion's free boundary problem which is used to describle the original cell growth is studied. It is prove d that the problem has locally classical solution uniquely by the linearization  method in the nonlinear analysis and the estimate theory in the partial differential equations.

Key words: Free boundary problem;C^&alpha, estimate, Fixed point , principle

CLC Number: 

  • 35K57
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