Published March 2010
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Equivalence of Sobolev inequalities and Lieb-Thirring inequalities
- Other:
- Exner, Pavel
Chicago
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.).Attached Files
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Additional details
- Eprint ID
- 77815
- Resolver ID
- CaltechAUTHORS:20170526-125941569
- NSF
- PHY-0652854
- NSF
- PHY-0652356
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2017-05-26Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field