4. Second-Order Elliptic Boundary Value Problems in Polygons
Society for Industrial and Applied Mathematics eBooks · 2011
4.1 Foreword The purpose of this chapter is to investigate the properties of the second derivatives of the solutions of boundary value problems for the Laplace operator in a plane domain with a polygonal boundary. Here, we just consider classical polygons, i.e. the union of a finite number of linear segments , (it is convenient to assume that is an open linear segment). We also fix a partition of {1, 2, …, N} into two subsets