Strong diamagnetism form the ball in three dimensions
(2011) In Asymptotic Analysis 72(1-2). p.77-123- Abstract
- In this paper we give a detailed asymptotic formula for the lowest eigenvalue of the magnetic Neumann Schrödingeroperator in the ball in thre e dimensions with constant magnetic field, as the strength of the magnetic field tends to infinity. This asymptotic formula is used to prove that the eigenvalue is monotonically increasing for large values of the magnetic field.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4221742
- author
- Fournais, Søren and Persson Sundqvist, Mikael LU
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- eigenvalue asymptotics, large magnetic field, unit ball, Ginzburg–Landau functional, surface superconductivity
- in
- Asymptotic Analysis
- volume
- 72
- issue
- 1-2
- pages
- 77 - 123
- publisher
- I O S Press
- external identifiers
-
- scopus:79955608097
- ISSN
- 1875-8576
- DOI
- 10.3233/ASY-2010-1023
- language
- English
- LU publication?
- yes
- id
- 391199be-3f18-476e-8b4a-96fd78927355 (old id 4221742)
- date added to LUP
- 2016-04-01 10:41:03
- date last changed
- 2022-01-26 01:30:15
@article{391199be-3f18-476e-8b4a-96fd78927355, abstract = {{In this paper we give a detailed asymptotic formula for the lowest eigenvalue of the magnetic Neumann Schrödingeroperator in the ball in thre e dimensions with constant magnetic field, as the strength of the magnetic field tends to infinity. This asymptotic formula is used to prove that the eigenvalue is monotonically increasing for large values of the magnetic field.}}, author = {{Fournais, Søren and Persson Sundqvist, Mikael}}, issn = {{1875-8576}}, keywords = {{eigenvalue asymptotics; large magnetic field; unit ball; Ginzburg–Landau functional; surface superconductivity}}, language = {{eng}}, number = {{1-2}}, pages = {{77--123}}, publisher = {{I O S Press}}, series = {{Asymptotic Analysis}}, title = {{Strong diamagnetism form the ball in three dimensions}}, url = {{http://dx.doi.org/10.3233/ASY-2010-1023}}, doi = {{10.3233/ASY-2010-1023}}, volume = {{72}}, year = {{2011}}, }