Course Objectives: The course covers mathematical analysis of linear and nonlinear partial differential equations. Featured topics include Cauchy-Kovalevskaya Theorem, Riemann invariants and shocks, energy methods for parabolic and hyperbolic equations, and bifurcations in nonlinear elliptic problems.
Instructor: Dr. Dmitry Pelinovsky, HH-422, ext.23424, e-mail: email@example.com
Lectures: Tuesdays, Fridays (9:30-11:00); HH/410
Office hours: Tuesdays, Fridays (11:00-12:00), or by appointment
"An Introduction to Partial Differential Equations" by M. Renardy and R.C. Rogers, Second Edition (Springer, 2004), ISBN 0-387-00444-0
Assignments: Four home assignments will be handed out in class on Tuesday every third week, starting the week of January 16. Texts for assignments and solutions will be posted on the course webpage.
Presentation: The course is completed by a presentation. Details of the presentations will be announced in March.
Presentation - 40%
Assignments - 60%