Counterexample to Strong Diamagnetism for the Magnetic Robin Laplacian
(2020) In Mathematical Physics, Analysis and Geometry 23(3).- Abstract
We determine a counterexample to strong diamagnetism for the Laplace operator in the unit disc with a uniform magnetic field and Robin boundary condition. The example follows from the accurate asymptotics of the lowest eigenvalue when the Robin parameter tends to − ∞.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/9cb790cd-5b55-40ba-8299-5f584203e1ca
- author
- Kachmar, Ayman and Sundqvist, Mikael P. LU
- organization
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Diamagnetic inequalities, Eigenvalues, Magnetic Laplacian, Robin boundary condition
- in
- Mathematical Physics, Analysis and Geometry
- volume
- 23
- issue
- 3
- article number
- 27
- publisher
- Springer
- external identifiers
-
- scopus:85087414940
- ISSN
- 1385-0172
- DOI
- 10.1007/s11040-020-09350-6
- language
- English
- LU publication?
- yes
- id
- 9cb790cd-5b55-40ba-8299-5f584203e1ca
- date added to LUP
- 2020-07-14 12:26:26
- date last changed
- 2022-04-18 23:31:04
@article{9cb790cd-5b55-40ba-8299-5f584203e1ca,
abstract = {{<p>We determine a counterexample to strong diamagnetism for the Laplace operator in the unit disc with a uniform magnetic field and Robin boundary condition. The example follows from the accurate asymptotics of the lowest eigenvalue when the Robin parameter tends to − ∞.</p>}},
author = {{Kachmar, Ayman and Sundqvist, Mikael P.}},
issn = {{1385-0172}},
keywords = {{Diamagnetic inequalities; Eigenvalues; Magnetic Laplacian; Robin boundary condition}},
language = {{eng}},
number = {{3}},
publisher = {{Springer}},
series = {{Mathematical Physics, Analysis and Geometry}},
title = {{Counterexample to Strong Diamagnetism for the Magnetic Robin Laplacian}},
url = {{http://dx.doi.org/10.1007/s11040-020-09350-6}},
doi = {{10.1007/s11040-020-09350-6}},
volume = {{23}},
year = {{2020}},
}