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On Schrödinger maps. (English) Zbl 1159.35065

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 \(H^{\frac{n}{2}+ \varepsilon}.\)

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
58J05 Elliptic equations on manifolds, general theory
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