A shadowing lemma for abelian Higgs vortices
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We use a shadowing-type lemma in order to analyze the singular, semilinear elliptic equation describing static self-dual abelian Higgs vortices. Such an approach allows us to construct new solutions having an \textit{infinite} number of arbitrarily prescribed vortex points. Furthermore, we obtain the precise asymptotic profile of the solutions in the form of an approximate superposition rule, up to an error which is exponentially small.
Cite
@article{arxiv.math/0412025,
title = {A shadowing lemma for abelian Higgs vortices},
author = {Marta Macri' and Margherita Nolasco and Tonia Ricciardi},
journal= {arXiv preprint arXiv:math/0412025},
year = {2007}
}
Comments
18 pages