On and beyond propagation of singularities of viscosity solutions

TL;DR

This survey reviews recent advances and open problems related to the propagation of singularities in viscosity solutions, highlighting current understanding and future research directions.

Contribution

It compiles recent results and open problems on the propagation of singularities in viscosity solutions, providing a comprehensive overview of the topic.

Findings

Summarizes key recent results in the field.

Identifies open problems for future research.

Provides a structured overview of the topic.

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.