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.