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Lieb–Thirring type inequality for resonances. / Korotyaev, Evgeny.

In: Bulletin of Mathematical Sciences, Vol. 7, No. 2, 01.08.2017, p. 211-217.

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Korotyaev, E 2017, 'Lieb–Thirring type inequality for resonances', Bulletin of Mathematical Sciences, vol. 7, no. 2, pp. 211-217. https://doi.org/10.1007/s13373-016-0092-3

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Korotyaev, Evgeny. / Lieb–Thirring type inequality for resonances. In: Bulletin of Mathematical Sciences. 2017 ; Vol. 7, No. 2. pp. 211-217.

BibTeX

@article{53102aa0a5424afb826221c9f3917cba,
title = "Lieb–Thirring type inequality for resonances",
abstract = "We consider resonances for Schr{\"o}dinger operators with compactly supported potentials on the line and the half-line. We estimate the sum of the negative power of all resonances and eigenvalues in terms of the norm of the potential and the diameter of its support. The proof is based on harmonic analysis and Carleson measures arguments.",
keywords = "Lieb–Thirring inequality, Resonances",
author = "Evgeny Korotyaev",
year = "2017",
month = aug,
day = "1",
doi = "10.1007/s13373-016-0092-3",
language = "English",
volume = "7",
pages = "211--217",
journal = "Bulletin of Mathematical Sciences",
issn = "1664-3607",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Lieb–Thirring type inequality for resonances

AU - Korotyaev, Evgeny

PY - 2017/8/1

Y1 - 2017/8/1

N2 - We consider resonances for Schrödinger operators with compactly supported potentials on the line and the half-line. We estimate the sum of the negative power of all resonances and eigenvalues in terms of the norm of the potential and the diameter of its support. The proof is based on harmonic analysis and Carleson measures arguments.

AB - We consider resonances for Schrödinger operators with compactly supported potentials on the line and the half-line. We estimate the sum of the negative power of all resonances and eigenvalues in terms of the norm of the potential and the diameter of its support. The proof is based on harmonic analysis and Carleson measures arguments.

KW - Lieb–Thirring inequality

KW - Resonances

UR - http://www.scopus.com/inward/record.url?scp=85024379815&partnerID=8YFLogxK

U2 - 10.1007/s13373-016-0092-3

DO - 10.1007/s13373-016-0092-3

M3 - Article

AN - SCOPUS:85024379815

VL - 7

SP - 211

EP - 217

JO - Bulletin of Mathematical Sciences

JF - Bulletin of Mathematical Sciences

SN - 1664-3607

IS - 2

ER -

ID: 35630980