On the existence of canonical multi-phase free boundary Brakke flows: a case study
Abstract
We establish the global-in-time existence of a codimension 1 canonical multi-phase free boundary Brakke flow in the upper halfspace which is integer rectifiable up boundary, starting from a countably n-rectifiable set. Under a suitable uniform density ratio assumption on the initial datum, we show that the free boundary carries no positive mass for some short time.
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