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Global Regularity of Skew Mean Curvature Flow for Small Data in d ≥ 4 Dimensions
Abstract
The skew mean curvature fow is an evolution equation for a d dimensional manifold immersed into Rd+ 2, and which moves along the binormal direction with a speed proportional to its mean curvature. In this article, we prove small data global regularity in low-regularity Sobolev spaces for the skew mean curvature fow in dimensions d 4. This extends the local well-posedness result in [7].
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