Flowing the leaves of a foliation with normal speed given by the logarithm of general curvature functions

DOI10.1016/j.jfa.2021.109060zbMath1490.53113arXiv1706.02976OpenAlexW3159896801MaRDI QIDQ2066022

Heiko Kröner

Publication date: 13 January 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02976

zbMATH Keywords

geometric evolution equationasymptotic behavior, convex hypersurfacestranslating solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Geodesics in global differential geometry (53C22) Geometric evolution equations (53E99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures
• Translating solutions to the second boundary value problem for curvature flows
• Flow by mean curvature of convex surfaces into spheres
• On the existence of translating solutions of mean curvature flow in slab regions
• On the formation of singularities in the curve shortening flow
• Flow of nonconvex hypersurfaces into spheres
• Convexity estimates for a nonhomogeneous mean curvature flow
• The heat equation shrinking convex plane curves
• Surfaces of revolution with prescribed mean curvature
• Non-parametric mean curvature evolution with boundary conditions
• Evolving convex curves
• Mean curvature flow singularities for mean convex surfaces
• Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
• A logarithmic Gauss curvature flow and the Minkowski problem.
• Asymptotic behavior of flows by powers of the Gaussian curvature
• Gauss curvature flow: The fate of the rolling stones
• Convex hypersurfaces of prescribed curvatures
• Notes on translating solitons for mean curvature flow
• Anisotropic inverse harmonic mean curvature flow
• Geometric flow equations
• Graphical translators for mean curvature flow
• Evolution of convex hypersurfaces by powers of the mean curvature
• Convex hypersurfaces with pinched principal curvatures and flow of convex hypersurfaces by high powers of curvature
• Deforming a hypersurface by its Gauss-Kronecker curvature
• ENERGY EXTRACTION*
• Shapes of worn stones
• On the regularity of the solution of then-dimensional Minkowski problem
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Expansion of pinched hypersurfaces of the Euclidean and hyperbolic space by high powers of curvature

This page was built for publication: Flowing the leaves of a foliation with normal speed given by the logarithm of general curvature functions