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Wang, Lijun; Li, Jingna; Xia, Li

Existence and Hölder regularity of the fractional Landau-Lifshitz equation without Gilbert damping term. (English) Zbl 1470.35346

Abstr. Appl. Anal. 2013, Article ID 757824, 9 p. (2013).
Summary: Existence and Hölder regularity of weak solutions to the fractional Landau-Lifshitz equation without Gilbert damping term is proved through viscosity approximation. Since the nonlinear term is nonlocal and of full order of the equation, a commutator is constructed to get the convergence of the approximating solutions.

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
35Q55 NLS equations (nonlinear Schrödinger equations)
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References:

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