Tuesday, August 19, 2014

Course Information

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.