Heat Kernel Estimates and Parabolic Harnack Inequalities on Graphs and Resistance Forms

By Takashi Kumagai. 2004

61 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c653fbe379f01e669b4afa3a2094dd71acdb21c1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Mathav Kishore Murugan
2. Matthias Keller
3. Sebastian Haeseler
4. Martin T. Barlow
5. Takashi Kumagai
6. Zhen-Qing Chen
7. Alexander Grigorʼyan
8. Jiaxin Hu

In Geometry and Topology

1. Sebastian Haeseler
2. Matthias Keller
3. Mathav Kishore Murugan
4. Martin T. Barlow
5. M. Folz
6. Daniel Lenz
7. Radoslaw K. Wojciechowski
8. Takashi Kumagai

Citations in the corpus

• Stability of elliptic Harnack inequality (2016, background): “se papers left open the problem of the stability of the EHI, and also the question of finding a satisfactory characterisation of the EHI. This problem is mentioned in [Gri95], [Sal04, Question 12] and [Kum]. In [GHL0], the authors write “An interesting (and obviously hard) question is the characteriz”
• Generalized Solutions and Spectrum for Dirichlet Forms on Graphs (2010, background): “DM]. Additionay more involved Harnack inequaties are used f or heat kernel estimates which however assume very restrictive boundedness assumptions on the operator. For a survey of those estimates see [K]. GENERALIZED SOLUTIONS AND SPECTRUM FOR DIRICHLET FORMS ON GRAPHS 7 Proposition 3.4. (Harnack in”