6533b861fe1ef96bd12c5a69

RESEARCH PRODUCT

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

Domenico Angelo La MannaVesa Julin

subject

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

description

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.

yearjournalcountryeditionlanguage
2019-06-26
10.1016/j.anihpc.2020.02.007http://hdl.handle.net/11588/868071