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Published in:
2014 | OriginalPaper | Chapter
Wave maps
Authors : Herbert Koch, Daniel Tataru, Monica Vişan
Published in: Dispersive Equations and Nonlinear Waves
Publisher: Springer Basel
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Here we outline the main difficulties encountered in the study of the small data problem, and describe the ideas needed to overcome these difficulties. For simplicity we confine ourselves to the most interesting case of dimension two. Some simplifications arise in higher dimension, but the principles remain the same.