Soon I will be learning curve shortening flow and I am under the impression that a knowledge of PDEs is essential. Specifically, what from PDEs is required?
For example, I plan on brushing up using the Evans' book on PDEs. Specifically, the heat equation in chapter 2, Sobolev spaces in chapter 5 and also calculus of variations in chapter 8. Is there anything else that would be necessary?
For reference, here is the contents page in the Evans' book on PDEs: https://bookstore.ams.org/gsm-19-r/13