MAT 551 - Introduction to PDE

Introduction to basic types of partial differential equations and techniques for studying them. First order equations; The Cauchy problem and the Cauchy-Kovalevskaya Theorem; Laplace, heat, and wave operators; Sobolev and Holder spaces; second order linear elliptic equations: weak solutions, existence and regularity theory; L^p and Schauder estimates; de Giorgi-Nash-Moser theory; introduction to nonlinear equations”

3 credits

Prerequisite(s): MAT 549, MAT 536

Grading Letter graded (A, A-, B+, etc.)

Offered Fall