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The Landau problem for bounded nonvanishing functions

✍ Scribed by Zdzisław Lewandowski; Jan Szynal


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
55 KB
Volume
105
Category
Article
ISSN
0377-0427

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✦ Synopsis


The problem of ÿnding sup|a0 + a1 + • • •+ an| for holomorphic bounded and nonvanishing functions f(z)=a0


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We investigate vortex pinning in solutions to the Ginzburg-Landau equation. The coefficient, a(x), in the Ginzburg-Landau free energy modeling non-uniform superconductivity is nonnegative and is allowed to vanish at a finite number of points. For a sufficiently large applied magnetic field and for a