Partial Differential Equations 1

3 credits · Graduate

This is an advanced course in deterministic studies of partial differential equations (PDE). The main focus is on linear PDE models of first and second order arising from various disciplines. The course introduces analytic techniques related to three classical types of PDE: elliptic, parabolic and hyperbolic. Topics include: method of characteristics; Sobolev spaces; distributional derivatives; variational methods; maximum principle; Harnack inequalities; and qualitative properties of solutions to certain models. Prerequisite(s): MATH 336-3, or MATH 302-3 and MATH 230-3, or permission of the instructor Preclusion(s): MATH 436-3