Neumann Boundary Value Problem for the Landau-Lifshitz Equation

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In this paper, we prove that there exists a unique global smooth solution for the homogeneous Neumann boundary value problem of the Landau-Lifschitz equation if the initial function is smooth.

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Neumann Boundary Value Problem for the Landau-Lifshitz Equation. (2005). Journal of Partial Differential Equations, 18(2), 121-140. https://gsp.tricubic.dev/jpde/article/view/4038