Schrödinger Maps and their associated Frame Systems
Andrea Nahmod, Jalal Shatah, Luis Vega, Chongchun Zeng
Abstract
In this paper we establish the equivalence of solutions between Schrödinger map into S2 or H2 and their associated gauge invariant Schrödinger 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.
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