Prerequisites: Math 5210 or consent of instructor.
Text: Partial Differential
Equations, second edition, by Lawrence C.
Evans. ISBN
978-0821849743.
Course Description:
3 credits. PDEs of classical
physics, Hilbert space methods, variational methods, distributions,
regularity.
Homework: Problems will be assigned regularly. A random subset
of
problems from each assignment will be graded. Late homework
cannot be accepted. Students may consult one another and freely
discuss
homework problems, however the assignments you turn in must represent your own work.
| Due date |
Assignment |
| 8 Feb, 2011 |
Section 1.5: 1, 4. Section 2.5: 1, 4, 5, 6, 9. |
| 1 Mar, 2011 |
Section 2.5: 12, 13,
15. Derive (16) on page 71. Section 2.5: 19, 21, 24. |
| 31 Mar, 2011 |
Section 3.5: 4, 5,
9, 10(a), 19, 20. |
| 28 Apr, 2011 |
Section 4.7: 2. Section 6.6: 1, 2 (over H^1_0(U)), 4, 5, 10, 15. Click here for further info on problems 5 and 10. |
Interesting Links:
Russell Richins' Notes on Functional Analysis.
Grades: Your grade will be determined by your homework scores.
Students with disabilities may contact the instructor at the beginning of the semester to discuss special accomodations for the course.
Copyright notice: All printed and electronic materials provided
to you in this course are protected by copyright laws.