IJPAM: Volume 40, No. 1 (2007)
A REMARK ON THE EIGENVALUE ASYMPTOTICS
ASSOCIATED WITH SUPERCONDUCTIVITY
NEAR CRITICAL TEMPERATURE
ASSOCIATED WITH SUPERCONDUCTIVITY
NEAR CRITICAL TEMPERATURE
Naoki Ando
, Junichi Aramaki
Department of Mathematical Sciences
Faculty of Science and Engineering
Tokyo Denki University
Hatoyama-machi, Hiki-Gun, Saitama-Ken, 350-0394, JAPAN
, Junichi Aramaki
Department of Mathematical Sciences
Faculty of Science and Engineering
Tokyo Denki University
Hatoyama-machi, Hiki-Gun, Saitama-Ken, 350-0394, JAPAN
Abstract.We consider the eigenvalue asymptotics for a Shrödinger operator with a magnetic potential associated with the superconductivity near critical temperature. When the magnetic potential is depending on a parameter and the parameter tends to 
, we examine the asymptotics of the first eigenvalue and the corresponding eigenfunction. The result improves Pan [#!pan5!#].
Received: August 29, 2007
AMS Subject Classification: 82D55, 35P15, 35Q55
Key Words and Phrases: eigenvalue asymptotics, superconductivity, Ginzburg-Landau system
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 40
Issue: 1
