Published 2017
| Published + Submitted
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Eigenvalue bounds for the fractional Laplacian: A review
- Creators
-
Frank, Rupert L.
- Others:
- Palatucci, Giampiero
- Kuusi, Tuomo
Abstract
We review some recent results on eigenvalues of fractional Laplacians and fractional Schrödinger operators.We discuss, in particular, Lieb–Thirring inequalities and their generalizations, as well as semi-classical asymptotics.
Additional Information
© 2018 Rupert L. Frank, published by De Gruyter. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 License. The author would like to thank B. Dyda, L.Geisinger, E. Lenzmann, E. Lieb, R. Seiringer and L. Silvestre for collaborations involving the fractional Laplacian. He thanks R. Bañuelos, M. Kwaśnicki, F. Maggi and R. Song for helpful comments. Partial support by U.S. National Science Foundation DMS-1363432 is acknowledged.Attached Files
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Additional details
- Eprint ID
- 77096
- Resolver ID
- CaltechAUTHORS:20170501-092157290
- DMS-1363432
- NSF
- Created
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2017-05-01Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field