On The 1+2 Dimensional Landau-Lifshitz Equation

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By 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.
26 pages without figures

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Differential Geometry, Mathematical Physics, 58E20,35E55

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http://salesiana.dossiersoluciones.com/handle/123456789/74897

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504288
 http://arxiv.org/abs/math/0504288

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arXiv