Neumann boundary value problem for general curvature flow with forcing term

DOI10.1007/s10711-020-00585-9zbMath1469.53136arXiv1606.01580OpenAlexW3101076456MaRDI QIDQ2039273

Yanyan Li

Publication date: 2 July 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01580

zbMATH Keywords

convergence analysisNeumann boundary value problemgeneral curvature flow

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Flows related to mean curvature (53E10)

Cites Work

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• Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
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• Constant mean curvature surfaces and mean curvature flow with non-zero Neumann boundary conditions on strictly convex domains
• The Neumann problem for Hessian equations
• Translating solutions for Gauss curvature flows with Neumann boundary conditions.
• Convergence of solutions to the mean curvature flow with a Neumann boundary condition
• Locally convex hypersurfaces of constant curvature with boundary
• The neumann problem for equations of monge-ampère type
• On the Neumann Problem for Monge-Ampére Type Equations

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