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Titlebook: Brakke‘s Mean Curvature Flow; An Introduction Yoshihiro Tonegawa Book 2019 The Author(s), under exclusive license to Springer Nature Singap

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https://doi.org/10.1007/978-3-642-18720-9.) at . ∈ .(.). Here we consider how one may characterize the normal velocity using integration. The reason for such a pursuit is that, in the end, we want to replace .(.) by a general varifold. To do so, let . be a non-negative “test function”.
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Polyester Mesh - a French Solution? some minor assumption, Brakke gave a proof of a time-global existence of rectifiable Brakke flow starting from the given data. When the initial data is an integral .-varifold, the obtained flow is also integral in the sense defined in Chap. ..
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Regularity Theory for the Brakke Flow,The regularity theorem for a Brakke flow is similar to the Allard regularity theorem. Roughly speaking, the claim is that the support is smooth in the interior whenever it is sufficiently close in measure to a .-dimensional plane in a space–time neighborhood.
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