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DIRICHLET PROBLEM OF POISSON EQUATIONS AND VARIATIONAL PRINCIPLE ON A TYPE OF FRACTAL SETS
Fractals ( IF 3.3 ) Pub Date : 2020-05-04 , DOI: 10.1142/s0218348x20500905 YIPENG WU 1 , KUI YAO 1 , LEI MU 1 , ZHILONG CHEN 1
Fractals ( IF 3.3 ) Pub Date : 2020-05-04 , DOI: 10.1142/s0218348x20500905 YIPENG WU 1 , KUI YAO 1 , LEI MU 1 , ZHILONG CHEN 1
Affiliation
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.
中文翻译:
一类分形集上的泊松方程和变分原理的狄利克雷问题
本文研究了三级谢尔宾斯基垫片。我们解决了泊松方程的狄利克雷问题,并通过明确表达格林函数证明了三级谢尔宾斯基垫片的变分原理。
更新日期:2020-05-04
中文翻译:
一类分形集上的泊松方程和变分原理的狄利克雷问题
本文研究了三级谢尔宾斯基垫片。我们解决了泊松方程的狄利克雷问题,并通过明确表达格林函数证明了三级谢尔宾斯基垫片的变分原理。