MAT715: Topics in Partial Differential Equations | 6 credits (40-20-0) |
Objectives
To study elliptic partial differential equations (especially the Poisson equation) and the effects of boundary conditions and boundary regularities on the regularity of solution.
Contents
Sobolev-Sobodecki spaces and properties, Regularity of solution in Rn , Interior regularity and the shift theorem; Behavior of solution near corners, vertices and edges.