E-mail: andras "at" math.stanford.edu
Tentative office hours: M 2:30-3:30, W 2-3, Th 2:30-3:30.
Class location: MWF 10:30-11:20am, Room 381U.
Course assistant: Christos Mantoulidis
E-mail: c.mantoulidis "at" stanford.edu
Tentative office hours: M,F 3-5pm, W 4-6pm.
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.