Some basic facts on the system \Delta u - W_{u} (u) = 0

a priori consequences on the solutions. In particular, we point out some differences between two paradigms: the phase-transition system, with target a finite set of points, and the Ginzburg-Landau system, with target a connected manifold.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society Vol. 139; no. 1; p. 153
Main Author: Alikakos, Nicholas D.
Format: Journal Article
Language:English
Published: 01-01-2011
Online Access:Get full text
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Summary:a priori consequences on the solutions. In particular, we point out some differences between two paradigms: the phase-transition system, with target a finite set of points, and the Ginzburg-Landau system, with target a connected manifold.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2010-10453-7