PhD Course: Nonlinear PDEs and free boundaries
Time: Tue 2024-09-03 13.15 - 15.00
Location: KTH room 3418
Participating: Henrik Shahgholian
This course will cover basics in viscosity solutions for nonlinear PDEs (now classics), and also free boundary problems (also basics of regularity theory). I shall also mention a few applications of the latter.
Literature:
Cabre-Caffarelli, Fully Nonlinear Elliptic Equations:
bookstore.ams.org/view?ProductCode=COLL/43
For Free boundaries and applications I use some parts of my book: bookstore.ams.org/GSM/136
As well as lecture notes to be distributed.
The course will be assessed with take-home assignments and a presentation.