Heat kernel gradient estimates for the Vicsek set
Analysis of PDEs
2024-09-25 v3 Functional Analysis
Metric Geometry
Abstract
We prove pointwise and gradient estimates for the heat kernel on the bounded and unbounded Vicsek set and applications to Sobolev inequalities are given. We also define a Hodge semigroup in that setting and prove estimates for its kernel.
Keywords
Cite
@article{arxiv.2311.03499,
title = {Heat kernel gradient estimates for the Vicsek set},
author = {Fabrice Baudoin and Li Chen},
journal= {arXiv preprint arXiv:2311.03499},
year = {2024}
}
Comments
31 pages, v3: final version