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, issue 1

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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https://doi.org/10.1155/2013/757824

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:757824

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