Graphical translators for anisotropic and crystalline mean curvature flow

DOI10.1016/j.jmaa.2022.126314zbMath1495.53099arXiv2107.12082OpenAlexW3183953917MaRDI QIDQ2147806

Matteo Novaga, Annalisa Cesaroni, Heiko Kröner

Publication date: 20 June 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12082

zbMATH Keywords

symmetric solutionstranslating solitonsanisotropic mean curvature flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Viscosity solutions to PDEs (35D40) Flows related to mean curvature (53E10)

Cites Work

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• Convex solutions to the mean curvature flow
• Crystalline mean curvature flow of convex sets
• Stability of translating solutions to mean curvature flow
• Anisotropic motion by mean curvature in the context of Finsler geometry
• Generalized crystalline evolutions as limits of flows with smooth anisotropies
• A level set crystalline mean curvature flow of surfaces
• Correction to: ``Graphical translators for mean curvature flow
• Complete translating solitons to the mean curvature flow in ℝ3 with nonnegative mean curvature
• On Harnack's theorem for elliptic differential equations
• Volume preserving anisotropic mean curvature flow
• Approximation of General Facets by Regular Facets with Respect to Anisotropic Total Variation Energies and Its Application to Crystalline Mean Curvature Flow
• Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions
• Existence and uniqueness for anisotropic and crystalline mean curvature flows
• Existence and Uniqueness for a Crystalline Mean Curvature Flow
• Self-similar Expanding Solutions in a Sector for a Crystalline Flow

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