Math 205C Homepage, Spring 2016-2017

Real Analysis

Instructor: András Vasy

Office: 383M

Phone: 723-2226

E-mail: andras "at"

Tentative office hours: M 2:30-3:30, W 2-3, Th 2:30-3:30.

No office hour on Monday, April 10, Monday, April 24 and Monday, May 8.

Class location: MWF 10:30-11:20am, Room 381U.

The class will not meet on Friday, April 7 (qual!), Friday, April 21 and Monday, April 24.

There will be makeup lectures on Wednesday, April 12, Monday, April 17, Wednesday, April 26, Monday, May 1 and Friday May 19, each running for about half an hour extra after regular classtime in the regular room.

Course assistant: Christos Mantoulidis

Office: 381-K

E-mail: c.mantoulidis "at"

Tentative office hours: M,F 3-5pm, W 4-6pm.

No office hours on Friday, April 28, Monday and Wednesday May 1 and 3.

Textbook: The course is based on Richard Melrose's lecture notes, especially Chapters 2, 5 and 6, and additional material supplied by the instructor. These include the introduction and the basic microlocal analysis part of the instructor's notes, though this course will be mostly closer to Melrose's notes. We also cover the stationary phase lemma. Volume 2, Chapter 7, of Michael Taylor's PDE book, and Volume 3, Chapter 18, of Hörmander's PDE book are additional references.

This is a beginning graduate microlocal analysis class. The knowledge of functional analysis and Fourier analysis at the level presented earlier in the Math 205 sequence is important as the background.

We cover pseudodifferential operators, their use in elliptic and hyperbolic partial differential equations, wave front sets, oscillatory integrals and the stationary phase lemma, and integral transforms.

Grading policy: There will be a few homeworks which must be handed in.

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: