## Partial Differential Equations Math 222A

**Instructor:** Maciej Zworski

**Lectures:** TuTh 1230-2PM, 6 EVANS

**Course Control Number:** 54424

**Office:** 801

**Office Hours:** Tu 2:15-4 PM

**Prerequisites:** 202A or equivalent

**Required Text:** L.C. Evans, Partial Differential Equations;
L. Hörmander, The Analysis of Linear Partial Differential Operators,
vol.I.

**Syllabus:** The course, and its sequel Math 222B, will
provide a comprehensive introduction to the theory of partial
differential equations. Math 222A: transport, Laplace's, wave,
and heat equations; nonlinear first order scalar equations,
Hamilton-Jacobi equations, viscosity solutions (Evans); theory
of distributions, Fourier
transform, linear equations with constant coefficients
(Hörmander). Math 222B: Sobolev spaces, 2nd order elliptic
equations, spectral theory, calculus of variations (Evans) + additional
topics (e.g. Schauder estimates, Moser's paper on the Nash-DeGiorgi theorem; Calderón's
paper on the linearized inverse conductivity problem).

**Course Webpage:** http://math.berkeley.edu/~zworski/222.html

**Grading:** The grade will be based on weekly homework.

**Homework:** Homework will be assigned every week and due the
following week.