MATH 251A
FALL 2007

INTRODUCTORY PARTIAL DIFFERENTIAL EQUATIONS


Instructor: G.Eskin

MWF 12-1 pm Room:MS 5217

Office:MS 6917, Office hours: M,W 2-3

Textbook: G.Eskin, Introduction to Partial Differential Equations (Lecture Notes)

Course Outline

1. Theory of distributions.

2. Fourier transform of distributions.

3. Sobolev spaces.

4. Singular supports and wave fronts of distributions.

5. Fundamental solutions.

7. Second order elliptic equations in a bounded domain.

8. Topics in the scattering theory (if time permits).

Homework Assignments