Search results for "Short time existence"

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Short time existence of the classical solution to the fractional mean curvature flow

2019

Abstract We establish short-time existence of the smooth solution to the fractional mean curvature flow when the initial set is bounded and C 1 , 1 -regular. We provide the same result also for the volume preserving fractional mean curvature flow.

Mathematics - Differential Geometry01 natural sciencesclassical solutiondifferentiaaligeometriaMathematics - Analysis of PDEsfractional perimeterFOS: Mathematicsshort time existence0101 mathematicsMathematical PhysicsMathematicsosittaisdifferentiaaliyhtälötMean curvature flowApplied Mathematics010102 general mathematicsMathematical analysis010101 applied mathematicsVolume (thermodynamics)Differential Geometry (math.DG)Bounded functionfractional mean curvature flowFractional perimeterShort time existence53C44 35R11Mathematics::Differential GeometryClassical solutionAnalysisAnalysis of PDEs (math.AP)Fractional mean curvature flow
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