Time and Place: MWF 10:30am–11:20pm in UNIV 119
Instructor: Arshak Petrosyan
Office Hours: MWF 9:30-10:30, or by appointment, in MATH 610
Textbook: [GT] Gilbarg, Trudinger, Elliptic partial differential equations of second order, 2nd edition; Springer-Verlag, Berlin
Description: This is the first semester in a one-year course on the theory of PDEs. The Fall semester focuses on linear second order elliptic equations. Topics to be covered include Laplace's equation, the maximum principle, Poisson's equation and the Newtonian potential, Schauder's estimates for classical solutions, Sobolev Spaces, weak solutions and their regularity.
