On viscosity and equivalent notions of solutions for anisotropic geometric equations

DOI10.1155/2020/7545983zbMath1456.35079arXiv1910.14635OpenAlexW3106009962WikidataQ126387134 ScholiaQ126387134MaRDI QIDQ2303087

Cecilia De Zan, Pierpaolo Soravia

Publication date: 2 March 2020

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.14635

zbMATH Keywords

characteristic points for the level setshorizontal mean curvature flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Viscosity solutions to PDEs (35D40) Flows related to mean curvature (53E10)

Cites Work

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• Motion of level sets by mean curvature. I
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• Sub-Riemannian calculus on hypersurfaces in Carnot groups
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• Generalized Mean Curvature Flow in Carnot Groups
• User’s guide to viscosity solutions of second order partial differential equations
• A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature
• On the horizontal mean curvature flow for axisymmetric surfaces in the Heisenberg group
• Uniqueness of Viscosity Mean Curvature Flow Solution in Two Sub-Riemannian Structures
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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