Published July 18, 2020
| Version Submitted
Discussion Paper
Open
The Lieb-Thirring inequalities: Recent results and open problems
Creators
Abstract
This review celebrates the generous gift by Ronald and Maxine Linde for the remodeling of the Caltech mathematics department and the author is very grateful to the editors of this volume for the invitation to contribute. We attempt to survey recent results and open problems connected to Lieb–Thirring inequalities. In view of several excellent existing reviews [132, 17, 113, 91, 108] as well as highly recommended textbooks [134, 136], we sometimes put our focus on developments during the past decade.
Additional Information
© 2020 by the author. This paper may be reproduced, in its entirety, for non-commercial purposes. Partial support through US National Science Foundation grant DMS-1363432 is acknowledged. The author would like to thank all his collaborators on the topic of Lieb–Thirring inequalities and, in particular, A. Laptev, S. Larson, M. Lewin, E. H. Lieb, P. T. Nam and T. Weidl for helpful remarks on a preliminary version of this review.Attached Files
Submitted - 2007.09326.pdf
Files
2007.09326.pdf
Additional details
Identifiers
- Eprint ID
- 105032
- Resolver ID
- CaltechAUTHORS:20200819-122507869
Related works
- Describes
- https://arxiv.org/abs/2007.09326 (URL)
Funding
- NSF
- DMS-1363432
Dates
- Created
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2020-08-19Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field
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- Mathematics Department