Davies–Gaffney–Grigor’yan Lemma on graphs

• DOI: 10.4310/cag.2015.v23.n5.a4
• Publication Date: 2016-02-01T17:03:06Z
• Authors: Frank Bauer; Bobo Hua; Shing-Tung Yau
• Keywords: Lemma (botany); Heat kernel; Kernel (algebra)

We prove a variant of the Davies-Gaffney-Grigor'yan Lemma for continuous time heat kernel on graphs.We use it together with Li-Yau inequality, to obtain strong estimates graphs satisfying exponential curvature dimension inequality. 1 Introduction and main results 1032 1.1 1.2 Main organization paper 1033 1.3 Setting 1035 2 The inequality 1036 2.1 1037 2.2 Gradient Harnack 1038 2.3 Applications 1041 3 1043