M581A Linear and Nonlinear Elliptic Equations Part II
Outline
Lecture Notes
Lecture
9 Sobolev space, trace
Lecture
10- Schauder || Calderon-Zygmund
Lecture
10 De Giorgi--Nash
Lecture
11 Moser
Lecture
12 Quick applications of Harnack
Lecture
13 Minimal Surface equations
Lecture
14 Alexandrov
Lecture
15 Krylov-Safonov
Lecture
16 Evans-Krylov-(Safonov)
Lecture
17 Dirichlet problem for Special Lagrangian equations (including Monge-Ampere equation)
Old Notes:
Part1:
Intro and Harmonic function
Part2:
Divergence equations
Part3:
Nondivergence equations