Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/103317
Title: Gauge invariant eigenvalue problems in ℝ2 and in ℝ+ 2
Authors: Lu, K.
Pan, X.-B. 
Keywords: Eigenvalue
Ginzburg-Landau operator
Superconductivity
Issue Date: 2000
Citation: Lu, K.,Pan, X.-B. (2000). Gauge invariant eigenvalue problems in ℝ2 and in ℝ+ 2. Transactions of the American Mathematical Society 352 (3) : 1247-1276. ScholarBank@NUS Repository.
Abstract: This paper is devoted to the study of the eigenvalue problems for the Ginzburg-Landau operator in the entire plane ℝ2 and in the half plane R. The estimates for the eigenvalues are obtained and the existence of the associate eigenfunctions is proved when curl A is a non-zero constant. These results are very useful for estimating the first eigenvalue of the Ginzburg-Landau operator with a gauge-invariant boundary condition in a bounded domain, which is closely related to estimates of the upper critical field in the theory of superconductivity. © 1999 American Mathematical Society.
Source Title: Transactions of the American Mathematical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/103317
ISSN: 00029947
Appears in Collections:Staff Publications

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