|Second order elliptic PDEs|
|Time：||Mon/Wed 10:10-12:00, 2016-10-17~ 2016-11-09 (No classes on public holidays)|
|Instructor：||Valentino Tosatti [Northwestern University]|
|Place：||Conference room 1, Floor 1, Jin Chun Yuan West Building|
I will give an introduction to the study of second-order elliptic partial differential equations (PDE), both in domains in Euclidean space and on Riemannian manifolds. I will discuss harmonic functions, Sobolev spaces and weak solutions, Schauder estimates, L^p estimates, and the De Giorgi-Nash-Moser theorem, plus extra topics if time permits.
Familiarity with real analysis and some functional analysis.
D. Gilbarg and N.S. Trudinger Elliptic partial differential equations of second order
Q. Han and F.H. Lin Elliptic partial differential equations