eternal 发表于 2025-3-21 16:43:15

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碎片 发表于 2025-3-21 23:23:55

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”.

Monotonous 发表于 2025-3-22 02:05:42

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无法破译 发表于 2025-3-22 05:58:42

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冷漠 发表于 2025-3-22 11:12:02

Definition of the Brakke Flow,.) 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”.

弹药 发表于 2025-3-22 16:01:16

A General Existence Theorem for a Brakke Flow in Codimension One, 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. ..

pulmonary 发表于 2025-3-22 20:56:53

Allard Regularity Theory,ose that we have a varifold . ∈..(.) which happens to be a time-independent Brakke flow as we defined in Sect. .. This should mean that the normal velocity . is 0 and that . = . implies . = 0, which means that . is stationary. Let us adhere to the definition of the Brakke flow as in Definition . and check if this is indeed the case.

Herbivorous 发表于 2025-3-22 22:57:29

Yoshihiro TonegawaIs the first exposition of Brakke’s mean curvature flow, a subject that interests many researchers.Uses accessible language, not highly technical terminology, for all readers interested in geometric m

栖息地 发表于 2025-3-23 03:22:46

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严厉批评 发表于 2025-3-23 09:20:38

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