Math 256A Homepage, Spring 2013-2014

Partial Differential Equations

Instructor: András Vasy

Office: 383M

Phone: 723-2226

E-mail: andras "at" math.stanford.edu

Tentative office hours: MF 11-12, T 10-11. Exception: No office hour on Monday, April 7; Tuesday, April 8; Friday, May 16; Monday, June 2; and Tuesday, June 3.

Class location: MWF 10-10:50am typically, Room McCullough 126. However, with a significant frequency, to be announced soon, the class will start at 9:30am to make up for the missed lectures listed below. Note the recent change of classroom.

No class on Monday, April 7; Wednesday, April 9; Wednesday, May 14, Friday, May 16; Monday, June 2; and Wednesday, June 4. Also no class on Friday, April 4, due to math PhD qualifying exam. Makeup classes, to be held by starting at 9:30am will be announced gradually.

On Monday, Wednesday, Friday, April 14, 16, 18, as well as April 21, 23, 25, and April 28, 30, May 2, and May 5, 7, 9 and 12, and May 19, 21 and 23 the class will start at 9:30am.

Textbook: Leon Simon's lecture notes. Will be handed out in hard copy in class. Each of these "lectures" amounts to 2-3 50 minute lectures for our course when done in detail. However, I will try to do some topics in less detail to get through as much of the 16 lectures as possible; certainly getting through the first 11 "lectures" is a goal.

This is an advanced graduate PDE class, but no PDE background is required. However, a working knowledge of functional analysis as in 205A-B is a must. We rely on Leon Simon's lecture notes. This course should be appropriate for first year graduate students.

Grading policy: There are a few homeworks which must be handed in, but due to unavailability of graders, will not be graded carefully. There are no exams.

The homework will be due either in class or by 10am in the instructor's mailbox on the designated day. You are allowed to discuss the homework with others in the class, but you must write up your homework solution by yourself. Thus, you should understand the solution, and be able to reproduce it yourself.

Problem Sets (Problem numbers are from the lecture notes):

  • Problem Set 1: 1.3, 1.4, 2.1, 2.3, 2.4, 2.5, 2.7. Due Friday, April 18.
  • Problem Set 2, due Friday, May 2: 3.1-3.3, 4.4, 4.5, 4.7, 5.1, 5.5, 5.8, 5.9