IAM 932 (01) - Graduate Partial Differential Equations

Graduate level introduction to the analysis of linear and nonlinear partial differential equations. topics include: separation of variables, Fourier series, weak and strong solutions, eigenfunction expansions, the Strum-Liouville problem, Green's functions and fundamental solutions, method of characteristics, and conservation laws. A solid foundation in Ordinary Differential Equations and Linear Algebra is required prior to taking this course.