On The 1+2 Dimensional Landau-Lifshitz Equation

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dc.creatorDing, Qing
dc.date2005-04-14
dc.date.accessioned2026-07-07T05:19:06Z
dc.date.available2026-07-07T05:19:06Z
dc.descriptionBy using the geometric concept of PDEs with prescribed curvature representations, we show that the 1+2 dimensional Landau-Lifshitz equation is gauge equivalent to a 1+2 dimensional nonlinear Schrödinger-type system. From the nonlinear Schrödinger-type system, we construct blowing up $H^3({\bf R}^2)$-solutions to the 1+2 dimensional Landau-Lifshitz equation, which reveals the blow up phenomenon of the equation.
dc.description26 pages without figures
dc.identifierhttps://arxiv.org/abs/math/0504288
dc.identifierhttp://arxiv.org/abs/math/0504288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74897
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject58E20,35E55
dc.titleOn The 1+2 Dimensional Landau-Lifshitz Equation
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