A note on the oblique derivative problem for graphical mean curvature flow in Minkowski space

DOI10.1007/s12188-012-0066-7zbMath1276.53071OpenAlexW2052216957MaRDI QIDQ2392580

Ben Lambert

Publication date: 2 August 2013

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-012-0066-7

zbMATH Keywords

mean curvature flowMinkowski spaceNeumannn boundary condition

Mathematics Subject Classification ID

Related Items (7)

Construction of maximal hypersurfaces with boundary conditions ⋮ Spacelike mean curvature flow ⋮ Spacelike mean curvature flow solitons, polynomial volume growth and stochastic completeness of spacelike hypersurfaces immersed into pp-wave spacetimes ⋮ Solitons of the spacelike mean curvature flow in generalized Robertson-Walker spacetimes ⋮ Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density ⋮ Gradient Estimates for Spacelike Mean Curvature Flow with Boundary Conditions ⋮ Translating spacelike graphs by mean curvature flow with prescribed contact angle

Cites Work

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• Non-parametric mean curvature evolution with boundary conditions
• Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
• Interior estimates and longtime solutions for mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
• Regularity estimates for solutions to the mean curvature flow with a Neumann boundary condition
• Convergence of solutions to the mean curvature flow with a Neumann boundary condition
• Mean curvature flow with free boundary on smooth hypersurfaces

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