An anisotropic inverse mean curvature flow for spacelike graphic hypersurfaces with boundary in Lorentz-Minkowski space \(\mathbb{R}^{n+1}_1\)

DOI10.2748/tmj.20220203arXiv2106.05973MaRDI QIDQ6146741

Ya Gao, Jing Mao

Publication date: 15 January 2024

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.05973

zbMATH Keywords

Neumann boundary conditionLorentz-Minkowski spacespacelike hypersurfacesanisotropic inverse mean curvature flow

Mathematics Subject Classification ID

Second-order parabolic equations (35K10) Flows related to mean curvature (53E10)

Related Items (1)

Curvature estimates for spacelike graphic hypersurfaces in Lorentz–Minkowski space R1n+1$\mathbb {R}^{n+1}_{1}$

Cites Work

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• Inverse mean curvature flow for star-shaped hypersurfaces evolving in a cone
• Flow of nonconvex hypersurfaces into spheres
• Regularity theory for mean curvature flow
• Weak solutions of inverse mean curvature flow for hypersurfaces with boundary
• Linear and quasilinear elliptic equations
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space

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