Physical Sciences and Mathematics Commons^™

Schrodinger Maps And Their Associated Frame Systems, Andrea Nahmod, Jalal Shatah, Luis Vega, Chongchun Zeng

Mathematics and Statistics Department Faculty Publication Series

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.