Evolution of Spacelike Hypersurfaces by Mean Curvature Minus External Force Field in Minkowski Space

DOI10.1515/ans-2009-0305zbMath1180.53025OpenAlexW2516452771MaRDI QIDQ3397558

Huai-Yu Jian, Yan Nan Liu

Publication date: 22 September 2009

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2009-0305

zbMATH Keywords

mean curvature flowparabolic equationspacelike hypersurfacemaximum principle (for tensor)

Mathematics Subject Classification ID

Related Items (7)

Dirichlet problem for anisotropic prescribed mean curvature equation on unbounded domains ⋮ Evolution of convex hypersurfaces by a fully nonlinear flow ⋮ Exterior Dirichlet problem for translating solutions of Gauss curvature flow in Minkowski space ⋮ Evolution of hypersurfaces by powers of mean curvature minus an external force field ⋮ Anisotropic inverse harmonic mean curvature flow ⋮ Inverse mean curvature flow with forced term ⋮ Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field

Cites Work

• Existence of maximal surfaces in asymptotically flat spacetimes
• Ginzburg-Landau vortex and mean curvature flow with external force field
• Interior estimates and longtime solutions for mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
• Unnamed Item

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