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Published March 2010 | Version Submitted
Book Section - Chapter Open

Equivalence of Sobolev inequalities and Lieb-Thirring inequalities

Creators

  • 1. ROR icon Princeton University

Contributors

Abstract

We show that, under very general definitions of a kinetic energy operator T, the Lieb–Thirring inequalities for sums of eigenvalues of T - V can be derived from the Sobolev inequality appropriate to that choice of T.

Additional Information

© 2010 World Scientific Publishing Co Pte Ltd. This paper may be reproduced, in its entirety, for non-commercial purposes. This work was partially supported by U.S. NSF grants PHY-0652854 (R.L.F. and E.H.L.) and PHY-0652356 (R.S.).

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Identifiers

Eprint ID
77815
Resolver ID
CaltechAUTHORS:20170526-125941569

Related works

Describes
https://arxiv.org/abs/0909.5449 (URL)

Funding

NSF
PHY-0652854
NSF
PHY-0652356

Dates

Created
2017-05-26
Created from EPrint's datestamp field
Updated
2021-11-15
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Mathematics Department