M 393C Viscosity Solutions and Applications (54380)
TTh 12:30pm – 2pm
Course Description: We first cover the basic theory of viscosity solutions: existence, uniqueness, and stability properties. Then, we discuss some applications: homogenization, mean curvature flow, regularity results for second order uniformly elliptic equations. If time permits, we will also study viscosity solutions for nonlocal operators and the Peierls-Nabarro model.