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Global existence and uniqueness of Schrödinger maps in dimensions $d\geq 4$

I. Bejenaru·A. D. Ionescu·C. E. Kenig
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Abstract

In dimensions $d\geq 4$, 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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I. Bejenaru, A. D. Ionescu, C. E. Kenig. 2006-10-09. Global existence and uniqueness of Schrödinger maps in dimensions $d\geq 4$. https://arxiv.org/abs/math/0607579

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