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arXiv:2103.10181 [math.AP]AbstractReferencesReviewsResources

Gradient Estimate for the Heat Kernel on the Sierpiński Cable System

Meng Yang

Published 2021-03-18Version 1

We give gradient estimate for the heat kernel on the Sierpi\'nski cable system where the curvature assumption and the reverse H\"older inequality do not hold. This gives the first sub-Gaussian gradient estimate for the heat kernel.

Comments: 21 pages
Categories: math.AP, math.DG, math.FA, math.MG
Subjects: 28A80, 35K08
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