The Lieb-Thirring inequalities: Recent results and open problems

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–Thirr...

Full description

Bibliographic Details
Main Author: Frank, Rupert L.
Format: Report
Language:unknown
Published: arXiv 2020
Subjects:
Online Access:https://doi.org/10.48550/arXiv.2007.09326
id ftcaltechauth:oai:authors.library.caltech.edu:24qn3-vsa64
record_format openpolar
spelling ftcaltechauth:oai:authors.library.caltech.edu:24qn3-vsa64 2024-10-13T14:08:50+00:00 The Lieb-Thirring inequalities: Recent results and open problems Frank, Rupert L. 2020-08-19 https://doi.org/10.48550/arXiv.2007.09326 unknown arXiv https://arxiv.org/abs/2007.09326 https://doi.org/10.48550/arXiv.2007.09326 eprintid:105032 info:eu-repo/semantics/openAccess Other info:eu-repo/semantics/report 2020 ftcaltechauth https://doi.org/10.48550/arXiv.2007.09326 2024-09-25T18:46:40Z 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. © 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. Submitted - 2007.09326.pdf Report laptev Caltech Authors (California Institute of Technology) Linde ENVELOPE(124.611,124.611,64.968,64.968)
institution Open Polar
collection Caltech Authors (California Institute of Technology)
op_collection_id ftcaltechauth
language unknown
description 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. © 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. Submitted - 2007.09326.pdf
format Report
author Frank, Rupert L.
spellingShingle Frank, Rupert L.
The Lieb-Thirring inequalities: Recent results and open problems
author_facet Frank, Rupert L.
author_sort Frank, Rupert L.
title The Lieb-Thirring inequalities: Recent results and open problems
title_short The Lieb-Thirring inequalities: Recent results and open problems
title_full The Lieb-Thirring inequalities: Recent results and open problems
title_fullStr The Lieb-Thirring inequalities: Recent results and open problems
title_full_unstemmed The Lieb-Thirring inequalities: Recent results and open problems
title_sort lieb-thirring inequalities: recent results and open problems
publisher arXiv
publishDate 2020
url https://doi.org/10.48550/arXiv.2007.09326
long_lat ENVELOPE(124.611,124.611,64.968,64.968)
geographic Linde
geographic_facet Linde
genre laptev
genre_facet laptev
op_relation https://arxiv.org/abs/2007.09326
https://doi.org/10.48550/arXiv.2007.09326
eprintid:105032
op_rights info:eu-repo/semantics/openAccess
Other
op_doi https://doi.org/10.48550/arXiv.2007.09326
_version_ 1812815615930400768