| 吴一鹏,姚奎,苏维宜.SG4上Poisson方程的Dirichlet问题[J].数学年刊A辑,2019,(1):027~34 |
| SG4上Poisson方程的Dirichlet问题 |
| Dirichlet Problem of Poisson Equations on SG4 |
| Received:June 04, 2017 Revised:April 26, 2018 |
| DOI：10.16205/j.cnki.cama.2019.0003 |
| 中文关键词: $SG^4$, Green's function, Dirichlet problem |
| 英文关键词:$SG^4$, Green's function, Dirichlet problem |
| 基金项目: |
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| 中文摘要: |
| 考察具有D-4对称性的立体Sierpinski垫片, 定义其上的Laplacian, 给出Green函数, 从而解决了立体Sierpinski垫片上的Poisson方程的Dirichlet问题. |
| 英文摘要: |
| This paper studies the fractal set $SG^4$, gives the definitions of Laplacians on $SG^4$,
then expresses the Green's function explicitly, solves Dirichlet problem of Poisson equations. |
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