Two Dimensional Landau-Lifshitz Equation

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Abstract

In this paper, we consider the Cauchy problem for two dimensional Landau-Lifshitz equation on 2-dimenslonal Riemannian manifold M without boundary. We proved that if u: M × R_+ → S², is a weak solution, then u is unique and smooth on M × R_+ with the exception of finitely many points.

Keywords:

Two dimensional Landau-Lifshitz equation;almost smooth
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Two Dimensional Landau-Lifshitz Equation. (2020). Journal of Partial Differential Equations, 9(4), 313-322. https://www.global-sci.com/index.php/jpde/article/view/3836