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arXiv · 2305.12374

Existence of BV flow via elliptic regularization

Kiichi Tashiro
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Abstract

We investigate a mean curvature flow obtained via elliptic regularization, and prove that it is not only a Brakke flow, but additionally a generalized BV flow proposed by Stuvard and Tonegawa. In particular, we show that the change in volume of the evolving phase can be expressed in terms of the generalized mean curvature of the Brakke flow.

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Kiichi Tashiro. 2023-05-21. Existence of BV flow via elliptic regularization. https://doi.org/10.32917/h2023007

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