Math 6420 Partial Differential Equations

Spring Semester 2011

Instructor: David C. Dobson
Office:
LCB 210
Office hours:
TH 10:30-11:30 am or by appointment (5-7660 or dobson@math).

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.

Reading and lectures:  Prior to class meetings, students are expected to read, and be prepared to discuss, course material in the text.

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.