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椭圆型方程的变换群与变分恒等式
引用本文:熊辉. 椭圆型方程的变换群与变分恒等式[J]. 东莞理工学院学报, 2011, 18(3): 1-4
作者姓名:熊辉
作者单位:东莞理工学院计算机学院,广东东莞,523808
基金项目:Supported by NNSF of China(10771169); the Project of Thousand-Hundred-Ten of Guangdong Province,China~~
摘    要:讨论椭圆方程的变换群与变分恒等式的关系,利用变分恒对称群的性质得到一类变分恒等式.通过计算变分对称群得到了寻找非星形区域方法并举例进行了说明.

关 键 词:对称群  变分恒等式  非星形区域  解的不存在性

Transformation and Variational Identity of Elliptic Equation
XIONG Hui. Transformation and Variational Identity of Elliptic Equation[J]. Journal of Dongguan Institute of Technology, 2011, 18(3): 1-4
Authors:XIONG Hui
Affiliation:XIONG Hui(College of Computer,Dongguan University of Technology,Dongguan 523808,China)
Abstract:The relationship of transformation and variational identity of elliptic equations are studied,and a class of variational identity is obtained by using the prosperity of variational symmetry group.A method that finds non-star-shaped domain is supported by computing the symmetry group.Moreover,an example is given.
Keywords:symmetry group  variational identity  non-star-shaped domain  
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