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Robin Boundary Value Problem for One-Dimensional Landau–Lifshitz Equations

Robin Boundary Value Problem for One-Dimensional Landau–Lifshitz Equations
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摘要 In this paper, we are concerned with the existence and uniqueness of global smooth solu- tion for the Robin boundary value problem of Landau Lifshitz equations in one dimension when the boundary value depends on time t. Yhrthermore, by viscosity vanishing approach, we get the existence and uniqueness of the problem without Gilbert damping term when the boundary value is independent of t. In this paper, we are concerned with the existence and uniqueness of global smooth solu- tion for the Robin boundary value problem of Landau Lifshitz equations in one dimension when the boundary value depends on time t. Yhrthermore, by viscosity vanishing approach, we get the existence and uniqueness of the problem without Gilbert damping term when the boundary value is independent of t.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第10期2033-2066,共34页 数学学报(英文版)
基金 Supported by National Basic Research Program of China (973 Program) (Grant No. 2011CB808002) National Natural Science Foundation of China (Grant Nos. 11071086 and 11128102) the University Special Re-search Foundation for Ph.D. Program (Grant No. 20104407110002)
关键词 Landau-Lifshitz equation Robin boundary value problem EXISTENCE UNIQUENESS smooth solution. Landau-Lifshitz equation, Robin boundary value problem, existence, uniqueness, smooth solution.
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