The Laplacian on β-sets via the method of averages

Tang Donglei and Su Weiyi

Chaos, Solitons & Fractals, 2007, vol. 31, issue 1, 147-154

Abstract: In this paper, we show how the symmetric Laplacian on β-sets with 0<β<12, together with its associated Dirichlet form and harmonic functions, can be defined entirely in terms of average values of a function over basic sets. We have generalized Strichartz’s and our previous results by using the method of averages.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:1:p:147-154

DOI: 10.1016/j.chaos.2005.09.041

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