Math 290J: Introduction to Elliptic PDE

Tuesdays 3:00--3:50 in MS6221.

We will follow the book
   Elliptic PDE of Second Order by David Gilbarg and Neil S. Trudinger
developing the linear theory from part I. We will not have much time to discuss Part II on the quasi-linear case.

Chapter 1 gives an outline of the topics to be covered in the book (and hence the course), while Chapter 2 is both a review of basic facts about Laplace's equation and a preview of the types of results we would like to prove for more general equations. For this reason, we will begin the presentations with Chapter 3. Here is a brief guide for the presentation of the topics: