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Non trivial Lq solutions to the Ginzburg-Landau equation

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Abstract

It is shown that the contour problem for the stationary Ginzburg-Landau equation where ◯=x/r with r=|x|, is well posed in L 4(ℝn) for a class of small data f∈L 2(S n−1).

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Authors and Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco (UPV-EHU), Aptdo 644, 48080, Bilbao, Spain

    Susana Gutiérrez

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  1. Susana Gutiérrez
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Correspondence to Susana Gutiérrez.

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Mathematics Subject Classification (2000): 35J05, 43A32

Supported by a grant from Spanish Ministry of Education and Culture

Received: 16 December 2001

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Gutiérrez, S. Non trivial Lq solutions to the Ginzburg-Landau equation. Math. Ann. 328, 1–25 (2004). https://doi.org/10.1007/s00208-003-0444-7

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  • DOI: https://doi.org/10.1007/s00208-003-0444-7

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