TMA026 Partial differential equations, advanced course, 2001

Plan of lectures and exercises

Lectures

week 1: chapter 1, 2
week 1: chapter 2, 3
week 2: chapter 4
week 2: chapter 4, 5
week 3: chapter 6
week 3: chapter 6
week 4: chapter 7, 13
week 4: chapter 7
week 5: chapter 8
week 5: chapter 9
week 6: chapter 9
week 6: chapter 10
week 7: chapter 10
week 7: chapter 11, 12

Exercises presented in class

week 1: 1.7, 1.9.
week 1: 2.5, 2.7.
week 2: 3.1, 3.3 (a), 3.5 (b), Theorem 2.6 for \Omega a unit disk.
week 2: 4.5, 4.8.
week 3: 4.10, remarks for regularity of the solution.
week 3: 6.2, 6.4.
week 4: 6.7, 4.6, 4.4.
week 4: 7.3, 7.6.
week 5: 7.12, 7.15.
week 5: 8.1, 8.4.
week 6: 9.2.
week 6: Extra exercise (smooth data error estimates for homogeneous problem).
week 7: 10.4, 10.5
week 7: 10.8, 10.14

Homework

I expect you to do (almost) all exercises in the book and hand in at least one from each chapter. These problems will give partial credit in the examination. I will also appreciate if you report mistakes and misprints in the textbook and make suggestions for improvement, especially new exercises.

Hand in one set of exercises every Monday following the plan of the lectures.

Written exam/oral exam: to be determined.

Old exam: 981023 solutions

Older exams: 901101 solutions, 921104 solutions, 931104 solutions, 940108
These exams were written for another course which only covered time-dependent problems.

/stig


Last modified: Mon Oct 15 11:27:05 MET DST 2001