Detailed Information on Publication Record
2024
Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator
DUONG, Giao Ky, Rupert L. FRANK, Thi Minh Thao LE, Phan Thanh NAM, Phuoc-Tai NGUYEN et. al.Basic information
Original name
Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator
Authors
DUONG, Giao Ky, Rupert L. FRANK, Thi Minh Thao LE (704 Viet Nam, belonging to the institution), Phan Thanh NAM and Phuoc-Tai NGUYEN (704 Viet Nam, belonging to the institution)
Edition
Journal de Mathématiques Pures et Appliquées, Elsevier, 2024, 0021-7824
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Netherlands
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 2.300 in 2022
Organization unit
Faculty of Science
UT WoS
001301771100001
Keywords in English
Schrödinger operator; Semiclassical estimates; Cwikel-Lieb-Rozenblum inequality; Singular potentials
Tags
Tags
International impact, Reviewed
Změněno: 25/9/2024 14:00, Mgr. Marie Šípková, DiS.
Abstract
V originále
We prove a Cwikel–Lieb–Rozenblum type inequality for the number of negative eigenvalues of the Hardy–Schrödinger operator −Δ−(d−2)2/(4|x|2)−W(x) on L2(Rd). The bound is given in terms of a weighted Ld/2-norm of W which is sharp in both large and small coupling regimes. We also obtain a similar bound for the fractional Laplacian.
Links
| GA22-17403S, research and development project |
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