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Zbl 1148.35083
Bejenaru, Ioan
Global results for Schrödinger maps in dimensions $n\ge$ 3. (English)
[J] Commun. Partial Differ. Equations 33, No. 3, 451-477 (2008). ISSN 0360-5302; ISSN 1532-4133/e

Author's summary: We study the global well-posedness theory for the Schrödinger maps equation. We work in $n + 1$ dimensions, for $n\ge 3$, and prove a global well-posedness result for small initial data in $\dot B _{2,1}^{\frac n 2}$.
[A. D. Osborne (Keele)]

MSC 2000:: *35Q55 NLS-like (nonlinear Schroedinger) equations
42B99 Fourier analysis in several variables

Keywords: Schrödinger maps; small data; well-posedness

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Zentralblatt MATH Berlin [Germany]