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Minimizing properties of arbitrary solutions to the Ginzburg–Landau equation
Published online by Cambridge University Press: 14 November 2011
Extract
We consider the Ginzburg–Landau type equation
where G is a smooth bounded domain in ℝ2, g ∊ C∞(∂G;ℝ2 / {0}), and ε > 0 is a small parameter. We prove the uniqueness of solutions to this equation under some non-vanishing assumptions on uε, or under conditions on the boundary function g.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 6 , 1999 , pp. 1157 - 1169
- Copyright
- Copyright © Royal Society of Edinburgh 1999
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