Bejenaru, Ioan On Schrödinger maps. (English) Zbl 1159.35065 Am. J. Math. 130, No. 4, 1033-1065 (2008). 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 \(H^{\frac{n}{2}+ \varepsilon}.\) Reviewer: Dian K. Palagachev (Bari) Cited in 1 ReviewCited in 18 Documents MSC: 35Q55 NLS equations (nonlinear Schrödinger equations) 58J05 Elliptic equations on manifolds, general theory Keywords:Schrödinger map; local well-posedness PDFBibTeX XMLCite \textit{I. Bejenaru}, Am. J. Math. 130, No. 4, 1033--1065 (2008; Zbl 1159.35065) Full Text: DOI arXiv