Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (3): 393-403.

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ON THE HOLOMORPHIC SOLUTION OF NON-LINEAR TOTALLY CHARACTERISTIC EQUATIONS WITH SEVERAL SPACE VARIABLES

 CHEN Hua, LUO Zhuang-Chu   

  1. School of Mathematics, Wuhan University, Wuhan 430072, China
  • Online:2002-07-15 Published:2002-07-15
  • Supported by:

    Research supported by the National Natural Foundation of China

Abstract:

In this paper the authors study a class of non-linear singular partial differential equation in complex domain Ct×Cn x. Under certain assumptions, they prove the existence and uniqueness of holomorphic solution near origin of Ct × Cn x.

Key words: Non-linear, singular partial differential equation, holomorphic solution

CLC Number: 

  • 35A07
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