Singularities of solutions of Hamilton-Jacobi equations
Analysis of PDEs
2021-01-07 v1 Dynamical Systems
Abstract
This is a survey paper on the quantitative analysis of the propagation of singularities for the viscosity solutions to Hamilton-Jacobi equations in the past decades. We also review further applications of the theory to various fields such as Riemannian geometry, Hamiltonian dynamical systems and partial differential equations.
Keywords
Cite
@article{arxiv.2101.02075,
title = {Singularities of solutions of Hamilton-Jacobi equations},
author = {Piermarco Cannarsa and Wei Cheng},
journal= {arXiv preprint arXiv:2101.02075},
year = {2021}
}