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Zbl 1159.35065
Bejenaru, Ioan
On Schrödinger maps. (English)
[J] Am. J. Math. 130, No. 4, 1033-1065 (2008). ISSN 0002-9327; ISSN 1080-6377/e

In the very interesting paper under review the author develops the local well-posedness theory for the Schrödinger maps. The Schrödinger maps equation is studied in $n+1$ dimensions with $n \geq 2,$ and its local well-posedness is proved for small initial data in $H^{\frac{n}{2}+ \varepsilon}.$
[Dian K. Palagachev (Bari)]

MSC 2000:: *35Q55 NLS-like (nonlinear Schroedinger) equations
58J05 Elliptic equations on manifolds, general theory

Keywords: Schrödinger map; local well-posedness

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Zentralblatt MATH Berlin [Germany]