References for Viscosity Solutions
- The first place to start is the Chapter 10 of Evans Partial Differential Equations, on Hamilton Jacobi equations and viscosity solutions [1]
- If you read French, there is a book by Guy Barles.
- There is an excellent introduction, Shigeaki Koike, A beginner's guide to the theory of viscosity solutions which is out of print. Contact me for a copy.
- The next place to go is the CIME notes by Crandall, Viscosity solutions: A primer, Lecture Notes in Mathematics [2]
- There is a forthcoming textbook by Diogo Gomes.