UBC Math 516, Fall 2017

- Lecture 1 (Sep. 8): the classical linear PDE
- Lecture 2 (Sep. 11): solution of Poisson's equation in R^n
- Lecture 3 (Sep. 13): solution of the heat equation in R^n
- Lecture 4 (Sep. 15): solution of the wave equation in R^n
- Lecture 5 (Sep. 18): properties of harmonic functions: mean value; maximum principle
- Lecture 6 (Sep. 20): properties of harmonic functions: uniqueness; regularity
- Lecture 7 (Sep. 25): properties of the heat equation
- Lecture 8 (Sep. 27): second-order elliptic: weak solutions
- Lecture 9 (Sep. 29): second-order elliptic: Fredholm alternative
- Lecture 10 (Oct. 2): second-order elliptic: interior regularity
- Lecture 11 (Oct. 4): second-order elliptic: boundary regularity
- Lecture 12 (Oct. 6): second-order elliptic: maximum principles
- Lecture 13 (Oct. 13): second-order elliptic: method of sub/super-solutions
- Lecture 14 (Oct. 18): second-order parabolic: weak solutions and energy estimate
- Lecture 15 (Oct. 20): second-order parabolic: existence of weak solutions
- Lecture 16 (Oct. 23): second-order parabolic: regularity of weak solutions
- Assignment 1 (due: Fri., Sep. 29); solutions
- Assignment 2 (due: Fri., Nov. 3); solutions
- Assignment 3 (due Wed., Nov. 22);
Back to S. Gustafson's homepage or UBC Math. Last modified: Aug. 9, 2017. |