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Distributional solutions to mean curvature flow

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arxiv 2108.08347 v1 pith:HBPELMOD submitted 2021-08-18 math.AP math.DG

classification math.APmath.DG
keywords curvatureflowmeansometheoryaccessibleallowsbackground
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These lecture notes aim to present some of the ideas behind the recent (conditional) existence and (weak-strong) uniqueness theory for mean curvature flow. Focusing on the simplest case of the evolution of a single closed hypersurface allows for a self-contained and concise presentation, which is accessible for beginning graduate students with some background in PDEs and only requires basic measure theory.

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