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NEUMANN BOUNDARY VALUE PROBLEM FOR THE LANDAU-LIFSHITZ EQUATION
Authors:CuoBoling HanYongqian LvYongqiang FuYiping
Institution:[1]InstituteofAppliedPhysicsandComputationalMathematics,NonlinearcenterforStudies,P.O.Box8009,Beijing,100088,China [2]GraduateSchool,ChinaAcademyofEngineeringPhysics,P.O.Box2101,Beijing,China [3]SouthChinaUniversityofTechnology,DepartmentofMathematics,Guangzhou,510640,China
Abstract:In this paper, we prove that there exists a unique global smooth solution for the homogeneous Neumann boundary value problem of the Landau-Lifschitz equation if the initial function is smooth.
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