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The Lieb-Thirring inequality revisited

Frank, Rupert L. and Hundertmark, Dirk and Jex, Michal and Nam, Phan Thành (2021) The Lieb-Thirring inequality revisited. Journal of the European Mathematical Society, 23 (8). pp. 2583-2600. ISSN 1435-9855. doi:10.4171/jems/1062. https://resolver.caltech.edu/CaltechAUTHORS:20210713-164447574

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Abstract

We provide new estimates on the best constant of the Lieb–Thirring inequality for the sum of the negative eigenvalues of Schrödinger operators, which significantly improve the so far existing bounds.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.4171/jems/1062DOIArticle
https://arxiv.org/abs/1808.09017arXivDiscussion Paper
ORCID:
AuthorORCID
Frank, Rupert L.0000-0001-7973-4688
Additional Information:© 2021 EMS Publishing House. Published online: 2021-04-07. We thank Sabine Boegli for helpful discussions. This work was partially supported by U.S. NSF grant DMS-1363432 (R.L.F.), the Alfried Krupp von Bohlen und Halbach Foundation, and the Deutsche Forschungsgemeinschaft (DFG) through CRC 1173 (D.H.).
Funders:
Funding AgencyGrant Number
NSFDMS-1363432
Alfried Krupp von Bohlen und Halbach FoundationUNSPECIFIED
Deutsche Forschungsgemeinschaft (DFG)CRC 1173
Subject Keywords:Lieb–Thirring inequality, Schrödinger operator, Sobolev inequality
Issue or Number:8
DOI:10.4171/jems/1062
Record Number:CaltechAUTHORS:20210713-164447574
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210713-164447574
Official Citation:Frank Rupert, Hundertmark Dirk, Jex Michal, Nam Phan Thành: The Lieb–Thirring inequality revisited. J. Eur. Math. Soc. 23 (2021), 2583-2600. doi: 10.4171/JEMS/1062
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109786
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Jul 2021 16:53
Last Modified:13 Jul 2021 16:53

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