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Article
Schrodinger Maps and Their Associated Frame Systems
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Publication Date
2007
Abstract
In this paper we establish the equivalence of solutions between Schr¨odinger maps into S 2 or H 2 and their associated gauge invariant Schr¨odinger equations. We also establish the existence of global weak solutions into H 2 in two space dimensions. We extend these ideas for maps into compact hermitian symmetric manifolds with trivial first cohomology.
Disciplines
Pages
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Citation Information
Andrea Nahmod, Jalal Shatah, Luis Vega and Chongchun Zeng. "Schrodinger Maps and Their Associated Frame Systems" INTERNATIONAL MATHEMATICS RESEARCH NOTICES (2007) Available at: http://works.bepress.com/andrea_nahmod/23/
This article was harvested from arXiv.
Publisher's version - http://imrn.oxfordjournals.org/search?fulltext=nahmod&submit=yes&x=0&y=0