Keywords
eigenvalue, Ginzburg-Landau, bounded domains, asymptote, magnetic field, superconductivity
Abstract
In this paper we study the eigenvalue problems for the Ginzburg–Landau operator with a large parameter in bounded domains in [openface R]2 under gauge invariant boundary conditions. The estimates for the eigenvalues are obtained and the asymptotic behavior of the associated eigenfunctions is discussed. These results play a key role in estimating the critical magnetic field in the mathematical theory of superconductivity.
Original Publication Citation
Lu, Kening and Xing B. Pan."Eigenvalue problems of Ginzburg-Landau operator in bounded domains." Journal of Mathematical Physics 4 (1999): 2647-267.
BYU ScholarsArchive Citation
Lu, Kening and Pan, Xing-Bin, "Eigenvalue problems of Ginzburg–Landau operator in bounded domains" (1990). Faculty Publications. 730.
https://scholarsarchive.byu.edu/facpub/730
Document Type
Peer-Reviewed Article
Publication Date
1990-06-01
Permanent URL
http://hdl.lib.byu.edu/1877/1275
Publisher
AIP
Language
English
College
Physical and Mathematical Sciences
Department
Mathematics
Copyright Status
© 1999 American Institue of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics and may be found at http://link.aip.org/link/?JMAPAQ/40/2647/1
Copyright Use Information
http://lib.byu.edu/about/copyright/