MEAN VALUE PROPERTY OF HARMONIC FUNCTION ON THE HIGHER-DIMENSIONAL SIERPINSKI GASKET

被引：11
|
作者：
Wu, Yipeng [1 ]
Chen, Zhilong [1 ]
Zhang, Xia [2 ]
Zhao, Xudong [1 ]
机构：
[1] Army Engn Univ PLA, Nanjing 211101, Peoples R China
[2] Nanjing Univ Sci & Technol, Inst Sci, Nanjing 211101, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2020年 / 28卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Mean Value Theorem; Harmonic Function; Higher-Dimensional Sierpinski Gasket; TRACE THEOREM; LAPLACIAN; DOMAIN;
D O I：
10.1142/S0218348X20500772
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Harmonic functions possess the mean value property, that is, the value of the function at any point is equal to the average value of the function in a domain that contain this point. It is a very attractive problem to look for analogous results in the fractal context. In this paper, we establish a similar results of the mean value property for the harmonic functions on the higher-dimensional Sierpinski gasket.
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页数：10
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