Math 951: Advanced PDE II

(Spring 2020)

MW 11:00-12:15 in 408 Snow

Instructor:

Mathew Johnson
Office: 611 Snow Hall
E-mail: matjohn@ku.edu
Phone: (785)864-7307
Office Hours: T 10-11, R 11-12, and by appointment.

Course Materials:

Syllabus
Handouts:
• Crash course on functional analysis, made available courtesy of Robert Jerrard of the University of Toronto.
• The "Todo" list from day 1...
• Notes on Density Results.
• Notes on Poincare Inequalities.
Lecture Notes:
• The Principle Eigenvalue Theorem
• Chapter 3 -- Energy Methods in Parabolic PDE Theory
• Chapter 4 -- Introduction to Fixed Point Methods
• Chapter 5 -- Variational Methods
• Chapter 6 -- Introduction to Semigroup Methods
Homework:
• Homework 1, due Wednesday, February 12. (.tex) (Hints!)
  • Solutions.
• Homework 2, due Monday, March 2. (.tex) (Hints!)
  • Solutions.
• Homework 3, due Friday, March 27. (.tex) (Hints!)
  • Solutions.
• HW4: Complete Problem #1 in Chapter 3 Notes. Due Tuesday, March 31.
  • Solutions.
• HW5: Complete Problmes #1 and #2 in Chapter 4 Notes. Due Friday, April 10.
  • Solutions.
• HW6: Complete Problems #4 and #5 in Chapter 5 Notes. Due Wednesday, May 6.
  • Solutions.