The Laplacian on the level 3 Sierpinski gasket via the method of averages

Tang Donglei and Su Weiyi

Chaos, Solitons & Fractals, 2005, vol. 23, issue 4, 1201-1209

Abstract: In this paper, we show how the symmetric Laplacian on the level 3 Sierpinski gasket, together with its associated Dirichlet form and harmonic functions, can be defined entirely in terms of average values of a function over basic sets. The approach combined the constructive limit-of-difference-quotients method of Kigami and the method of averages introduced by Kusuoka and Zhou for the Sierpinski carpet.

Date: 2005
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:23:y:2005:i:4:p:1201-1209

DOI: 10.1016/j.chaos.2004.06.060

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