On the Cauchy problem for the noncompact Landau-Lifshitz-Gilbert equation |
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| Authors: | Masayoshi Tsutsumi |
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| Affiliation: | Department of Applied Mathematics, School of Fundamental Science and Engineering, Waseda University, Tokyo 169-8555, Japan |
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| Abstract: | Local well-posedness of the Cauchy problem for the noncompact Landau-Lifshitz-Gilbert equation is investigated via the pseudo-stereographic projection. Existence of global solutions is established for small initial data. In the case of one space dimension global existence theorems are proved for large initial data. |
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| Keywords: | Cauchy problem Noncompact Landau-Lifshitz-Gilbert equation Stereographic projection Global existence Large data Lovachevsky plane |
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