Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (2): 259-273.

• Articles • Previous Articles     Next Articles

LOCAL CLASSICAL SOLUTION OF FREE BOUNDARY PROBLEM FOR A COUPLED SYSTEM

 WANG Xiao-Hua, YI Fa-Huai, YANG Zhou   

  1. School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China
    Infomation &|Electron Technological Institute, South China Normal University, Guangzhou 510631, ChinaDepartment of Mathematics, South China Normal University, Guangzhou 510631, China
  • Online:2005-04-20 Published:2005-04-20
  • Supported by:

    The project is supported by National Natural Science Foundation of
    China(10371045), Guangdong Provincial Natural Science Foundation of China(000671) and National Natural
    Science Foundation of China(10426015).

Abstract:

This paper considers a two-phase free boundary problem for coupled system
including one parabolic equation and two elliptic equations. The problem comes from the
discussion of a growth model of self-maintaining protocell in multidimensional case. The
local classical solution of the problem with free boundary

Key words: Local existence, free boundary, coupled system

CLC Number: 

  • 35R35
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