DIRICHLET PROBLEM OF POISSON EQUATIONS AND VARIATIONAL PRINCIPLE ON A TYPE OF FRACTAL SETS

被引：8

作者：

Wu, Yipeng ^{[1
]}

Yao, Kui ^{[1
]}

Mu, Lei ^{[1
]}

Chen, Zhilong ^{[1
]}

机构：

[1] Army Engn Univ PLA, Nanjing 211101, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2020年 / 28卷 / 05期

关键词：

The Level-3 Sierpinski Gasket; Green's Function; Variational Principle; Dirichlet Problem; REAL LINE; CALCULUS; SUBSETS;

D O I：

10.1142/S0218348X20500905

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studied the level-3 Sierpinski gasket. We solved Dirichlet problem of Poisson equations and proved variational principle on the level-3 Sierpinski gasket by expressing Green's function explicitly.

引用

页数：7

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