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ON THE HOLOMORPHIC SOLUTION OF NON-LINEAR TOTALLY CHARACTERISTIC EQUATIONS WITH SEVERAL SPACE VARIABLES 被引量:5

ON THE HOLOMORPHIC SOLUTION OFNON-LINEAR TOTALLY CHARACTERISTICEQUATIONS WITH SEVERAL SPACE VARIABLES
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摘要 In this paper the authors study a class of non-linear singular partial differential equation in complex domain C-t x C-x(n). Under certain assumptions, they prove the existence and uniqueness of holomorphic solution near origin of C-t x C-x(n). In this paper the authors study a class of non-linear singular partial differential equation in complex domain C-t x C-x(n). Under certain assumptions, they prove the existence and uniqueness of holomorphic solution near origin of C-t x C-x(n).
作者 陈化 罗壮初
出处 《Acta Mathematica Scientia》 SCIE CSCD 2002年第3期393-403,共11页 数学物理学报(B辑英文版)
基金 the National Natural Foundation of China
关键词 NON-LINEAR singular partial differential equation holomorphic solution non-linear singular partial differential equation holomorphic solution
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参考文献5

  • 1Gerard R,Tahara H.Nonlinear singular first order partial differential equations of Briot-Bouquet type[].Proceedings of the Japan Academy.1990
  • 2Gerard R,Tahara H.Singular nonliear partial differential equations[]..1996
  • 3Tahara H.Fuchsian type equations and Puchsian hyperbolic equations[].Japanese Journal of Mathematics.1979
  • 4Hormmander L.Linear partial differential operators[].Springer.1963
  • 5Baouendi M S,Goulaouic C.Cauchy problems with characteristic initial hypersurface[].Communications on Pure and Applied Mathematics.1983

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