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arxiv: math/0611844 · v1 · submitted 2006-11-28 · 🧮 math.AP · math-ph· math.MP

On the Dirichlet problem of Landau-Lifshitz-Maxwell equations

classification 🧮 math.AP math-phmath.MP
keywords dirichletdomainsequationslandau-lifshitz-maxwellanisotropiesboundaryconditionconnected
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We prove the existence and uniqueness of non-trivial stable solutions to Landau-Lifshitz-Maxwell equations with Dirichlet boundary condition for large anisotropies and small domains, where the domains are non-simply connected.

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