Lieb-Thirring inequalities on the half-line with critical exponent
(2008) In Journal of the European Mathematical Society 10(3). p.739-755- Abstract
- We consider the operator -d(2)/dr(2) - V in L-2(R+) with Dirichlet boundary condition at the origin. For the moments of its negative eigenvalues we prove the bound [GRAPHICS] for any alpha is an element of [0, 1) and gamma >= (1 - alpha)/2. This includes a Lieb-Thirring inequality in the critical endpoint case.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1253860
- author
- Ekholm, Tomas LU and Frank, Rupert L
- organization
- publishing date
- 2008
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of the European Mathematical Society
- volume
- 10
- issue
- 3
- pages
- 739 - 755
- publisher
- European Mathematical Society Publishing House
- external identifiers
-
- wos:000257869200006
- scopus:48549096314
- ISSN
- 1435-9855
- language
- English
- LU publication?
- yes
- id
- 8e4a3b39-2a84-45ab-ae80-f37edda4b654 (old id 1253860)
- alternative location
- http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=10&iss=3&rank=6
- date added to LUP
- 2016-04-01 13:41:12
- date last changed
- 2022-01-27 20:26:25
@article{8e4a3b39-2a84-45ab-ae80-f37edda4b654,
abstract = {{We consider the operator -d(2)/dr(2) - V in L-2(R+) with Dirichlet boundary condition at the origin. For the moments of its negative eigenvalues we prove the bound [GRAPHICS] for any alpha is an element of [0, 1) and gamma >= (1 - alpha)/2. This includes a Lieb-Thirring inequality in the critical endpoint case.}},
author = {{Ekholm, Tomas and Frank, Rupert L}},
issn = {{1435-9855}},
language = {{eng}},
number = {{3}},
pages = {{739--755}},
publisher = {{European Mathematical Society Publishing House}},
series = {{Journal of the European Mathematical Society}},
title = {{Lieb-Thirring inequalities on the half-line with critical exponent}},
url = {{http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=10&iss=3&rank=6}},
volume = {{10}},
year = {{2008}},
}