M 393C Nonlocal Elliptic Equations (54500)
TTH 2 – 3:30pm
Course Description: We will study Nonlocal elliptic equations, which involve integro-differential operators like the fractional Laplacian. We will study existence and regularity of solutions, both for linear and nonlinear problems. / Some of the topics we will study are the following: the Dirichlet problem in a bounded domain; interior and boundary regularity of solutions; semilinear equations; obstacle problems and fully nonlinear equations (if time permits).