## Course information :

Winter Quarter, 2020

Lectures: TR 3:10–4:30 p.m., Olson 261

Office hours:

T 2:00–3:00 p.m.

Text:

*Partial Differential Equations*, 2nd ed., L. C. Evans,
Graduate Studies in Mathematics, Vol. 19, AMS.

Department of Mathematics

University of California

Davis, CA 95616, USA

University of California

Davis, CA 95616, USA

e-mail: `jkhunter@ucdavis.edu`

Office:

3230 Mathematical Sciences Building

## Lecture Notes

- Contents
- Chapter 1: Preliminaries
- Chapter 2: Laplace's equation
- Chapter 3: Sobolev spaces
- Appendix: Functions of one variable
- Chapter 4: Elliptic PDEs
- Appendix: Heat flow
- Chapter 5: The heat and Schrodinger equations
- Appendix: The Fourier transform
- Chapter 6: Parabolic equations
- Appendix: Vector-valued functions
- Chapter 7: Hyperbolic equations
- Bibliography

## Problem Sets (from the text)

Set 1 (Due Thursday, January 23)

7.5, p. 446: 1, 2, 5, 6

Set 2: (Due Thursday, February 27)

2.5, p. 84: 18, 19, 21, 22, 24

Additional Problem