Strong diamagnetism form the ball in three dimensions
Författare
Summary, in English
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.
Avdelning/ar
- Matematik LTH
- Partial differential equations
Publiceringsår
2011
Språk
Engelska
Sidor
77-123
Publikation/Tidskrift/Serie
Asymptotic Analysis
Volym
72
Issue
1-2
Dokumenttyp
Artikel i tidskrift
Förlag
I O S Press
Ämne
- Mathematics
Nyckelord
- eigenvalue asymptotics
- large magnetic field
- unit ball
- Ginzburg–Landau functional
- surface superconductivity
Status
Published
Forskningsgrupp
- Partial differential equations
ISBN/ISSN/Övrigt
- ISSN: 1875-8576