M583E Linear and Nonlinear Elliptic Equations Part I

Outline

Lecture Notes
Lecture 1 Introduction   
Lecture 2 Harmonic functions   
Lecture 3 Sovability for Laplace equation in general domains   
Lecture 4 Schauder for Laplace   
Lecture 5 Weighted norm and Sovability for general linear elliptic equations   
Lecture 6 Boundary Schauder   
Lecture 7 Calderon-Zygmund   
Lecture 8 Energy method--preliminary: capacity, Poincare, Sobolev   
Lecture 9 Sobolev space, trace   

Homework
HW1   Kelvin
HW2  
HW3  
HW4  
HW5