Fall 2013

Instructor:               John Gemmer

Office Hours:       Tuesday 9:00-11:00, Thursday 9:00-11:00                                   
Lecture:                 MWF: 12:00-1:00, Math Building 205

Textbooks: The course will be self-contained and all lectures will be supported by handwritten lecture notes posted on my website. However, the course notes themselves will mainly be drawn from the following books:

1. Evans, L. C. Partial Differential Equations. Vol. 19. American Mathematical Society, 1998. (We will cover topics from chapter 8 in detail).
2. Jost, Jürgen, and Xianqing Li-Jost. Calculus of variations. Vol. 64. Cambridge University Press, 1998.
3. Braides, Andrea. Gamma-convergence for Beginners. Vol. 22. Oxford University Press, 2002.
4. Müller, Stefan. "Variational models for microstructure and phase transitions." Calculus of variations and geometric evolution problems. Springer Berlin Heidelberg, 1999. 85-210.

Course Handouts and Useful Websites:
1. Syllabus: (.pdf)
2. Lecture 1: (.pdf)
3. Lecture 2: (.pdf)
4. Lecture 3: (.pdf)
5. Lecture 4: (.pdf)
6. Lecture 5: (.pdf)
7. Lecture 6: (.pdf)
8. Lecture 7: (.pdf)
9. Lecture 8: (.pdf)

Additional Notes:
1. Concentration of weakly convergent sequence: (.pdf)

Homework Assignments:
1. Homework #1 (Due 09/25/13) (Solution.pdf)
2. Homework #2 (Due 10/22/13)