A uniqueness result on the solution for a Landau–Lifshitz system with penalization |
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| Authors: | Yutian Lei |
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| Institution: | Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing, 210097, China |
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| Abstract: | The author proves the uniqueness of the solution to an evolution Landau–Lifshitz type problem, when the parameter tends to zero. In addition, the unique solution is just a heat flow of a harmonic map. This uniqueness result is derived by establishing a uniform estimate for the solution. |
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| Keywords: | 35B25 35K40 35K50 |
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