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LOCAL CLASSICAL SOLUTION OF FREE BOUNDARY PROBLEM FOR A COUPLED SYSTEM

LOCAL CLASSICAL SOLUTION OF FREE BOUNDARY PROBLEM FOR A COUPLED SYSTEM
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摘要 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 (?) y = g(x,t) between two domains is being seeked. The local existence and uniqueness of the problem will be proved in multidimensional case. 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 (?) y = g(x,t) between two domains is being seeked. The local existence and uniqueness of the problem will be proved in multidimensional case.
作者 王晓华 易法槐 杨舟
机构地区 School of Mathematical Sciences South China University of Technology Department of Mathematics South China Normal University
出处 《Acta Mathematica Scientia》 SCIE CSCD 2005年第2期259-273,共15页 数学物理学报（B辑英文版）
基金 The project is supported by National Natural Science Foundation of China(10371045)Guangdong Provincial Natural Science Foundation of China(000671)National Natural Science Foundation of China(10426015).
关键词 Local existence free boundary coupled system Local existence, free boundary, coupled system
分类号 O175.25 [理学—基础数学]
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参考文献13

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Acta Mathematica Scientia
2005年 第2期

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