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Global existence and uniqueness of Schrödinger maps in dimensions d≥ 4

I. Bejenaru, A. D. Ionescu, C. E. Kenig

math.AParXiv:math/0607579

Abstract

In dimensions d≥ 4, we prove that the Schrödinger map initial-value problem admits global (in time) solutions for smooth data with small norm in the critical Sobolev space.

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