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The skew mean curvature flow is an evolution equation for a $d$ dimensional manifold immersed into $\mathbb {R}^{d+2}$, and which moves along the binormal direction with a speed proportional to… Click to show full abstract
The skew mean curvature flow is an evolution equation for a $d$ dimensional manifold immersed into $\mathbb {R}^{d+2}$, 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 flow in dimensions $d\geq 4$. This extends the local well-posedness result in [7].
Keywords:
skew mean;
curvature flow;
regularity;
mean curvature;
curvature
Journal Title: International Mathematics Research Notices
Year Published: 2022
Link to full text (if available)
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Journal Title: International Mathematics Research Notices
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!