On the regularity of the distance near the boundary of an obstacle

DOI10.1016/j.jmaa.2022.126680zbMath1500.35069OpenAlexW4295537331MaRDI QIDQ2084880

Paolo Albano

Publication date: 13 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126680

zbMATH Keywords

state constraintseikonal equationdistance functionsemiconcave functions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Curves in Euclidean and related spaces (53A04) Boundary value problems for nonlinear first-order PDEs (35F30) Viscosity solutions to PDEs (35D40)

Cites Work

• On the extension of the solutions of Hamilton-Jacobi equations
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• On the local semiconcavity of the solutions of the eikonal equation
• On p-convex sets and geodesics
• The distance function in the presence of an obstacle
• On the extension problem for semiconcave functions with fractional modulus
• Hamilton-Jacobi Equations with State Constraints
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