Schrodinger Flow Near Harmonic Maps

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dc.creatorGustafson, S.
dc.creatorKang, K.
dc.creatorTsai, T. -P.
dc.date2005-04-25
dc.date.accessioned2026-07-07T05:19:23Z
dc.date.available2026-07-07T05:19:23Z
dc.descriptionFor the Schrödinger flow from $R^2 \times R^+$ to the 2-sphere $S^2$, it is not known if finite energy solutions can blow up in finite time. We study equivariant solutions whose energy is near the energy of the family of equivariant harmonic maps. We prove that such solutions remain close to the harmonic maps until the blow up time (if any), and that they blow up if and only if the length scale of the nearest harmonic map goes to zero.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0504497
dc.identifierhttp://arxiv.org/abs/math/0504497
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75004
dc.subjectAnalysis of PDEs
dc.subject35Q55
dc.titleSchrodinger Flow Near Harmonic Maps
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