Schrödinger Maps and their associated Frame Systems

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In this paper we establish the equivalence of solutions between Schrödinger map into $\mathbb{S}^2$ or $ \mathbb{H}^2$ and their associated gauge invariant Schrödinger equations. We also establish the existence of global weak solutions into $\mathbb{H}^2$ in two space dimensions. We extend these ideas for maps into compact hermitian symmetric manifolds with trivial first cohomology.
19 pages, submitted

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Analysis of PDEs, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/122873

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612481
 http://arxiv.org/abs/math/0612481

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arXiv