Regularity estimates for solutions to the mean curvature flow with a Neumann boundary condition
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Publication:1917678
DOI10.1007/BF01190825zbMath0851.35053OpenAlexW2026420222MaRDI QIDQ1917678
Publication date: 18 November 1996
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01190825
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Initial value problems for linear higher-order PDEs (35G10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Higher-order parabolic equations (35K25)
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Cites Work
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- Flow by mean curvature of convex surfaces into spheres
- Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
- Four-manifolds with positive curvature operator
- Harmonic maps of manifolds with boundary
- Non-parametric mean curvature evolution with boundary conditions
- Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
- Contraction of convex hypersurfaces in Euclidean space
- Three-manifolds with positive Ricci curvature
- Convergence of solutions to the mean curvature flow with a Neumann boundary condition
- Deforming a hypersurface by its Gauss-Kronecker curvature