A note on heat kernel estimates on weighted graphs with two-sided bounds on the weights
- We reconsider estimates for the heat kernel on weighted graphs recently found by Metzger and Stollmann. In the case that the weights satisfy a positive lower bound as well as a finite upper bound, we obtain a specialized lower estimate and a proper generalization of a previous upper estimate. Reviews: Math. Rev. 1979406, Zbl. Math. 0934.46042
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| Author: | Andreas U. SchmidtGND |
|---|---|
| URN: | urn:nbn:de:hebis:30-11382 |
| ISSN: | 1607-2510 |
| Document Type: | Article |
| Language: | English |
| Year of Completion: | 2002 |
| Year of first Publication: | 2002 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2005/06/21 |
| Tag: | Heat kernel; Laplace operator on graphs |
| Page Number: | 4 |
| First Page: | 1 |
| Last Page: | 4 |
| Note: | Aktualisierte Fassung, zuerst erschienen in: Applied mathematics e-notes, 2.2002, S. 25-28 |
| Source: | Version of 10 February 2002, orig. publ. in: Applied Mathematics E-Notes 2 (2002) 25-28 , http://www.math.uni-frankfurt.de/~aschmidt/#eprints |
| HeBIS-PPN: | 197141846 |
| Institutes: | Informatik und Mathematik / Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| MSC-Classification: | 39-XX DIFFERENCE AND FUNCTIONAL EQUATIONS / 39Axx Difference equations (For dynamical systems, see 37-XX, for dynamic equations on time scales, see 34N05) / 39A12 Discrete version of topics in analysis |
| Licence (German): |  Deutsches Urheberrecht |
