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arXiv:2102.06375 [math.AP]AbstractReferencesReviewsResources

On obstacle problem for Brakke's mean curvature flow

Keisuke Takasao

Published 2021-02-12Version 1

We consider the obstacle problem of the weak solution for the mean curvature flow, in the sense of Brakke's mean curvature flow. We prove the global existence of the weak solution with obstacles which have $C^{1,1}$ boundaries, in two and three space dimensions. To obtain the weak solution, we use the Allen-Cahn equation with forcing term.

Comments: 11 pages
Categories: math.AP
Subjects: 35K93, 53E10
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