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Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators
Kristian Evans,
Neils Jacob
Trends in Mathematics, Pages: 333 - 362
Swansea University Authors: Kristian Evans, Neils Jacob
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DOI (Published version): 10.1007/978-3-031-20021-2
Abstract
In this paper we study the possibility to represent the heat kernel associated with a pseudo differential operator with negative definite symbol with the help of a combination of two metrics associated with the symbol. We discuss in great detail two examples and we outline the consequences of this a...
| Published in: | Trends in Mathematics |
|---|---|
| ISBN: | 9783031200205 9783031200212 |
| ISSN: | 2297-0215 2297-024X |
| Published: |
Cham
Springer International Publishing
2022
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa64994 |
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| Abstract: |
In this paper we study the possibility to represent the heat kernel associated with a pseudo differential operator with negative definite symbol with the help of a combination of two metrics associated with the symbol. We discuss in great detail two examples and we outline the consequences of this approach. |
|---|---|
| Item Description: |
https://link.springer.com/chapter/10.1007/978-3-031-20021-2_17 |
| Keywords: |
Non-local generators; Fractional Laplacians; Potential kernels; Heat kernel decays; Metric measure spaces |
| College: |
Faculty of Science and Engineering |
| Start Page: |
333 |
| End Page: |
362 |