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arXiv · 1206.1382

Mean value properties of harmonic functions on Sierpinski gasket type fractals

Hua Qiu·Robert S. Strichartz
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Abstract

In this paper, we establish an analogue of the classical mean value property for both the harmonic functions and some general functions in the domain of the Laplacian on the Sierpinski gasket. Furthermore, we extend the result to some other p.c.f. fractals with Dihedral-3 symmetry.

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Hua Qiu, Robert S. Strichartz. 2013-05-16. Mean value properties of harmonic functions on Sierpinski gasket type fractals. https://arxiv.org/abs/1206.1382

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