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一类奇异偏微分方程的化简方法
引用本文:李平丽,孙甜甜.一类奇异偏微分方程的化简方法[J].吉林师范大学学报(自然科学版),2014(2):71-73.
作者姓名:李平丽  孙甜甜
作者单位:渤海大学数理学院,辽宁锦州121013
基金项目:国家自然科学基金项目(11371071)
摘    要:针对一类在原点有奇异性的偏微分方程,本文用一复数域内奇异常微分方程全纯解的存在唯一性的结论,给出了一种具体的双全纯变换,将之化为更简形式.

关 键 词:偏微分方程  双全纯变换  解析  化简

The Reduction Method of A Type of Singular Partial Differential Equations
LI Ping-li,SUN Tian-tian.The Reduction Method of A Type of Singular Partial Differential Equations[J].Jilin Normal University Journal(Natural Science Edition),2014(2):71-73.
Authors:LI Ping-li  SUN Tian-tian
Institution:1. School of Mathematics and Physics, Bohai University,Jinzhou 121013, China; 2. School of Mathematics and Physics, Bohai University,Jinzhou 121013, China)
Abstract:Using the theory with respect to the existence and uniqueness of the holomorphic solution to a singular ordinary differential equation in the complex domain,this paper constructs a biholomorphic transformation to reduce a partial differential equation with singularity at the origin to a more simple form.
Keywords:Partial Differential Equation  biholomorphic transformation  analytic  reduce
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