Math 205C Homepage, Spring 2019-2020

Real Analysis

Instructor: András Vasy

Office: 383M

Phone: 723-2226

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

Tentative office hours: After lectures on zoom and by appointment

Class location: TTh 1:30-2:50, Room 381T. The lecture on May 19 will be shorter, starting around 2pm, TBC.


Course assistant: None...

Office:

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

Tentative office hours:



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. Volume 2, Chapter 7, of Michael Taylor's PDE book, and Volume 3, Chapter 18, of Hörmander's PDE book are additional references.

We cover pseudodifferential operators, their use in elliptic and hyperbolic partial differential equations, wave front sets, and various extensions of the theory.

Grading policy: There will be a few homeworks which must be handed in, but due to unavailability of graders, will not be graded carefully.

The homework will be due either in class or by noon 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: