Singularities of solutions of Hamilton-Jacobi equations

2021/01/06 by Piermarco Cannarsa, Wei Cheng, Cannarsa, Piermarco +1
Mathematics · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.2101.02075

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.

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