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arXiv · 1112.6122

Equivariant Schr\"odinger Maps in two spatial dimensions

Ioan Bejenaru·Alexandru Ionescu·Carlos E. Kenig·Daniel Tataru
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Abstract

We consider equivariant solutions for the Schr\"odinger map problem from $\mathbb{R}^{2+1}$ to $\mathbb{S}^2$ with energy less than $4\pi$ and show that they are global in time and scatter.

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Ioan Bejenaru, Alexandru Ionescu, Carlos E. Kenig, Daniel Tataru. 2011-12-28. Equivariant Schr\"odinger Maps in two spatial dimensions. https://doi.org/10.1215/00127094-2293611

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