Brakke's Mean Curvature Flow pp 71-84 | Cite as

# Allard Regularity Theory

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## Abstract

Before we go into a full-fledged regularity theory for Brakke flows, it is certainly reasonable to consider a simpler time-independent situation. Suppose that we have a varifold *V* ∈**V**_{k}(*U*) which happens to be a time-independent Brakke flow as we defined in Sect. 2.2. This should mean that the normal velocity *v* is 0 and that *v* = *h* implies *h* = 0, which means that *V* is stationary. Let us adhere to the definition of the Brakke flow as in Definition 2.2 and check if this is indeed the case.

## References

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