Schrodinger Maps and Their Associated Frame Systems

Authors

Andrea Nahmod, University of Massachusetts AmherstFollow
Jalal Shatah, Courant Institute of Mathematical Sciences
Luis Vega, Universidad del Pa´ is Vasco
Chongchun Zeng, Georgia Institute of TechnologyFollow

Publication Date

2007

Journal or Book Title

INTERNATIONAL MATHEMATICS RESEARCH NOTICES

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.

Comments

This article was harvested from arXiv.

Publisher's version - http://imrn.oxfordjournals.org/search?fulltext=nahmod&submit=yes&x=0&y=0

Pages

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Recommended Citation

Nahmod, Andrea; Shatah, Jalal; Vega, Luis; and Zeng, Chongchun, "Schrodinger Maps and Their Associated Frame Systems" (2007). INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 737.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/737