Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions
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Accepted version
Author(s)
Ibrogimov, Orif O
Krejcirik, David
Laptev, Ari
Type
Journal Article
Abstract
We derive sharp quantitative bounds for eigenvalues of biharmonic operators perturbed by complex-valued potentials in dimensions one, two and three.
Date Issued
2021-07
Date Acceptance
2020-12-15
Citation
Mathematische Nachrichten, 2021, 294 (7), pp.1333-1349
ISSN
0025-584X
Publisher
Wiley-VCH Verlag
Start Page
1333
End Page
1349
Journal / Book Title
Mathematische Nachrichten
Volume
294
Issue
7
Copyright Statement
© 2021 Wiley-VCH GmbH. This is the accepted version of the following article: Ibrogimov, OO, Krejčiřík, D, Laptev, A. Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions. Mathematische Nachrichten. 2021; 1– 17, which has been published in final form at https://doi.org/10.1002/mana.202000196
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000646192600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics
biharmonic operators
bounds for eigenvalues
complex potentials
Birman–
Schwinger principle
LIEB-THIRRING INEQUALITIES
SCHRODINGER-OPERATORS
VIRTUAL EIGENVALUES
DIRAC
Publication Status
Published
Date Publish Online
2021-05-03