Author:
BOLLEY CATHERINE,HELFFER BERNARD
Abstract
Following our preceding papers [1, 2]
concerning semi-infinite superconducting films, we
consider new a priori estimates on the exterior magnetic
field h=A′(0), when (f, A)
is a solution of the corresponding Ginzburg–Landau system. The main
new
results concern the limit as
κ→∞, but we prove also the existence of a finite
superheating field. We also discuss recent
results [3] concerning the superheating field in the large
κ limit, and show how to relate these
formal solutions to suitable subsolutions and supersolutions giving
the existence of a solution for
h<1/√2 and κ large enough. We also analyse
the same problem by variational techniques
and get the existence of a locally stable solution for h<1/√2
and any κ>0.
Publisher
Cambridge University Press (CUP)
Cited by
13 articles.
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