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Rough solutions for the wave maps equation

✍ Scribed by Tataru, Daniel

Book ID: 118226354
Publisher: John Hopkins University Press
Year: 2005
Tongue: English
Weight: 766 KB
Volume: 127
Category: Article
ISSN: 0002-9327
DOI: 10.1353/ajm.2005.0014

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## Abstract We first construct traveling wave solutions for the Schrödinger map in ℝ^2^ of the form __m__(__x__~1~, __x__~2~ − ϵ __t__), where __m__ has exactly two vortices at approximately $\font\open=msbm10 at 10pt\def\R{\hbox{\open R}}(\pm {{1}\over{2 \epsilon}}, 0) \in \R^2$ of degree ±1. We