On an extension of the \(H ^{k }\) mean curvature flow

DOI10.1007/s11425-011-4289-3zbMath1246.53089arXiv0910.1135OpenAlexW1980532594MaRDI QIDQ424252

Yi Li

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1135

zbMATH Keywords

Moser iteration\(H^k\) mean curvature flowMichael-Simon inequality

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

Related Items (3)

On an extension of the \(H^{k}\) mean curvature flow of closed convex hypersurfaces ⋮ The extension of the \(H^k\) mean curvature flow in Riemannian manifolds ⋮ Invariant hypersurface flows in centro-affine geometry

Cites Work

• Extend mean curvature flow with finite integral curvature
• Flow by mean curvature of convex surfaces into spheres
• Harnack inequalities for curvature flows depending on mean curvature
• On the extension of the mean curvature flow
• Classical Fourier Analysis
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ

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