Partial Differential Equations 2
Math 2901 Fall 2017


MWF 10:00-10:50 am, 337 Cathedral of Learning


Instructor: Piotr Hajlasz

Office: 420 Thackeray Hall

Email: hajlasz@gmail.com

Course Grade: Homework (50%) and two exams (50%)

Office Hours: You can stop at my office at any time or you can make an appointment by e-mail. I am very flexible. If you have any question, please do not hesitate to come to see me.


Textbook:

Lawrence C. Evans, Partial Differential Equations. Graduate Studies in Mathematics, Volume: 19.

Cortona Lectures

Sobolev Spaces

Calculus of Variations

Calculus of Variations 2

Elliptic equation: existence

Schauder's fixed point theorem


Other useful sources:

Functional Analysis

Measure Theory


What is it about? We will cover chapters 5-9 from the book by Evans.


Homework:

The homework must be written in LaTeX using the file exclosed here and returned to me as a pdf file by e-mail (hajlasz@gmail.com). The e-mail must contain in the subject line: PDE2 HW solutions . In the following homework sets I will simply add more problems to the existing file and you need to add solutions to the existing file. That means your second homework solutions has to include the fist homework solutions and later your last set of solutions must contain solutions to all of the problems throughout the year. If, at the later time, you realize that some of your earlier solutions need to be modified, you should do it.

Homework Due date for problems 10-21: Monday, November 27. Please add the solutions to the file with the solutions of the problems 1-9. You still have time to update solutions to the problems 1-9. If you find mistakes in the statements, please let me know.