Published May 7, 2013
| Submitted + Published
Journal Article
Open
Heat kernels of metric trees and applications
- Creators
-
Frank, Rupert L.
- Kovařík, Hynek
Chicago
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Abstract
We consider the heat semigroup generated by the Laplace operator on metric trees. Among our results we show how the behavior of the associated heat kernel depends on the geometry of the tree. As applications we establish new eigenvalue estimates for Schrödinger operators on metric trees.
Additional Information
© 2013 SIAM. Received by the editors July 27, 2012; accepted for publication December 14, 2012; published electronically May 7, 2013. This author's work was supported through DFG grant FR 2664/1-1 and U.S. NSF grant PHY-0652854. This author was partially supported by the MIUR-PRIN08 grant for the project "Trasporto ottimo di massa, disuguaglianze geometriche e funzionali e applicazioni."Attached Files
Published - 120886297.pdf
Submitted - 1108.6145v1.pdf
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Additional details
- Eprint ID
- 39949
- Resolver ID
- CaltechAUTHORS:20130815-102433930
- Deutsche Forschungsgemeinschaft (DFG)
- FR 2664/1-1
- NSF
- PHY-0652854
- MIUR-PRIN08 Grant
- Created
-
2013-08-16Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field