Equivariant Schrödinger maps in two spatial dimensions: The H2 target

Ioan Bejenaru; Alexandru Ionescu; Carlos Kenig; Daniel Tataru

doi:10.1215/21562261-3478889

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Home > Journals > Kyoto J. Math. > Volume 56 > Issue 2 > Article

June 2016 Equivariant Schrödinger maps in two spatial dimensions: The

\mathbb{H}^{2}

target

Ioan Bejenaru, Alexandru Ionescu, Carlos Kenig, Daniel Tataru

Kyoto J. Math. 56(2): 283-323 (June 2016). DOI: 10.1215/21562261-3478889

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Abstract

We consider equivariant solutions for the Schrödinger map problem from $\mathbb{R}^{2+1}$ to $\mathbb{H}^{2}$ with finite energy and show that they are global in time and scatter.

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Ioan Bejenaru. Alexandru Ionescu. Carlos Kenig. Daniel Tataru. "Equivariant Schrödinger maps in two spatial dimensions: The $\mathbb{H}^{2}$ target." Kyoto J. Math. 56 (2) 283 - 323, June 2016. https://doi.org/10.1215/21562261-3478889