Divergence Form Operators on Fractal-lik
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Martin T. Barlow; Richard F. Bass
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Article
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2000
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Elsevier Science
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English
β 254 KB
We consider elliptic operators L in divergence form on certain domains in R d with fractal volume growth. The domains we look at are pre-Sierpinski carpets, which are derived from higher dimensional Sierpinski carpets. We prove a Harnack inequality for non-negative L-harmonic functions on these doma