Global propagation of singularities for solutions of Hamilton-Jacobi equations

DOI10.1016/j.jmaa.2016.07.037zbMath1347.35079OpenAlexW4214583814MaRDI QIDQ739540

Paolo Albano

Publication date: 18 August 2016

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.2016.07.037

zbMATH Keywords

generalized characteristicssingular set

Mathematics Subject Classification ID

Singularity in context of PDEs (35A21) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (8)

On the Subelliptic Eikonal Equation ⋮ Generalized characteristics and Lax-Oleinik operators: global theory ⋮ Propagation of singularities of Moreau envelopes and distance functions in a Hilbert space ⋮ Unnamed Item ⋮ Generation of singularities from the initial datum for Hamilton-Jacobi equations ⋮ Singularities of solutions of Hamilton-Jacobi equations ⋮ The distance function in the presence of an obstacle ⋮ Propagation of Singularities in Nonconvex Hamilton--Jacobi Problems: Local Structure in Two Dimensions

Cites Work

• Global propagation of singularities for time dependent Hamilton-Jacobi equations
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Excess action and broken characteristics for Hamilton-Jacobi equations
• Singular dynamics for semiconcave functions
• Propagation of singularities for solutions of Hamilton-Jacobi equations
• On the local semiconcavity of the solutions of the eikonal equation
• Asymptotic behavior of some nonlinear heat equations
• Propagation of singularities for solutions of nonlinear first order partial differential equations
• Singular gradient flow of the distance function and homotopy equivalence
• The Lax–Oleinik semi-group: a Hamiltonian point of view
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global propagation of singularities for solutions of Hamilton-Jacobi equations