The regularity of the distance function propagates along minimizing geodesics

DOI10.1016/J.NA.2013.08.017zbMath1284.35128OpenAlexW2014956264MaRDI QIDQ2637024

Paolo Albano

Publication date: 18 February 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.08.017

zbMATH Keywords

eikonal equationgeneralized gradient flowcut-locus

Mathematics Subject Classification ID

Boundary value problems for nonlinear first-order PDEs (35F30) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (6)

On the stability of the cut locus ⋮ On the Subelliptic Eikonal Equation ⋮ Compensated Convexity, Multiscale Medial Axis Maps and Sharp Regularity of the Squared-Distance Function ⋮ Generalized characteristics and Lax-Oleinik operators: global theory ⋮ Unnamed Item ⋮ On the cut locus of closed sets

Cites Work

• On the local semiconcavity of the solutions of the eikonal equation
• Viscosity solutions of Hamilton-Jacobi equations
• Propagation of singularities for solutions of nonlinear first order partial differential equations
• Hamilton-Jacobi equations and distance functions on Riemannian manifolds
• Singular gradient flow of the distance function and homotopy equivalence
• On the Local Uniqueness of Geodesics
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