On and beyond propagation of singularities of viscosity solutions

Abstract

This is a survey paper for the recent results on and beyond propagation of singularities of viscosity solutions. We also collect some open problems in this topic.

References in corpus (4)

• Weak KAM theorem on non compact manifolds
• Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus
• Lasry-Lions, Lax-Oleinik and Generalized characteristics
• Global generalized characteristics for the Dirichlet problem for Hamilton-Jacobi equations at a supercritical energy level

Cited by in corpus (2)

• Singularities of solutions of Hamilton-Jacobi equations
• Global propagation of singularities for discounted Hamilton-Jacobi equations