Schrödinger maps and their associated frame systems

Andrea Nahmod, Jalal Shatah, Luis Vega, Chongchun Zeng

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Abstract

In this paper we establish the equivalence of solutions between Schr̈odinger maps into S2 or H2 and their associated gauge invariant Schr̈odinger equations. We also establish the existence of global weak solutions into H2 in two space dimensions. We extend these ideas for maps into compact hermitian symmetric manifolds with trivial first cohomology.

Original languageEnglish (US)
Article numberrnm088
JournalInternational Mathematics Research Notices
Volume2007
DOIs
StatePublished - Dec 1 2007

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ASJC Scopus subject areas

  • Mathematics(all)

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