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We show that a generic levelset of the viscosity solution to mean curvatureflow is a distributional solution in the framework of sets of finite perimeterby Luckhaus and Sturzenhecker, which in addition saturates the optimal energydissipation rate. This extends the fundamental work of Evans and Spruck (J.Geom. Anal. 1995), which draws a similar connection between the viscositysolution and Brakke flows.

Generic level sets in mean curvature flow are BV solutions