Global existence and uniqueness of Schr\"{o}dinger maps in dimensions $d\geq 4$

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

arxiv: math/0607579 · v2 · submitted 2006-07-23 · 🧮 math.AP

Global existence and uniqueness of Schr\"{o}dinger maps in dimensions dgeq 4

I. Bejenaru , A. D. Ionescu , C. E. Kenig This is my paper

classification 🧮 math.AP

keywords dimensionsdingerglobalschradmitscriticaldataexistence

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In dimensions $d\geq 4$, we prove that the Schr\"{o}dinger map initial-value problem admits global (in time) solutions for smooth data with small norm in the critical Sobolev space.

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Global existence and uniqueness of Schr\"{o}dinger maps in dimensions dgeq 4

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