Existence and Hölder Regularity of the Fractional Landau-Lifshitz Equation without Gilbert Damping Term

Lijun Wang, Jingna Li and Li Xia

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:757824

DOI: 10.1155/2013/757824

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