In this course "PDE II", we shall continue to cover the following chapters in the book of Craig Evans "Partial Differential Equations":
Chapter 4 : Other ways to represent solutions.
Chapter 5 : Sobolev Spaces
Chapter 6: Second Order Elliptic Equations
Chapter 7 : Linear Evolution Equations
If we have time left in the semester, we shall ask the students to present some well-known papers.
As in the first semester, the students are asked to hand in the homework. The final examination is either take-home exam. or paper presentation.