Stability of the elliptic Harnack inequality

• 成果类型: Article
• 署名作者: Barlow, Martin T.; Murugan, Mathav
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2018.187.3.4
• 发表日期: 2018
• 页码: 777-823
• 关键词: rough isometries; heat kernels; differential-equations; RIEMANNIAN-MANIFOLDS; harmonic-functions; graphs; THEOREM; form

摘要

We prove that the elliptic Harnack inequality (on a manifold, graph, or suitably regular metric measure space) is stable under bounded perturbations, as well as rough isometrics.