AMS 502, Differential Equations and Boundary Value Problems II
Analytic solution techniques for, and properties of solutions of, partial differential equations, with concentration on second order PDEs. Techniques covered include: method of characteristics, separation of variables, eigenfunction expansions, spherical means, GreenŐs functions and fundamental solutions, and Fourier transforms. Solution properties include: energy conservation, dispersion, dissipation, existence and uniqueness, maximum and mean value principles.
Prerequisite: AMS 501
3 credits, ABCF grading

Text: Partial Differential Equations, by Robert McOwen, 2nd Edition, Pearson
ISBN# 9780130093356