Point estimates for Green's matrix to boundary value problems for second order elliptic systems in a polyhedral cone

摘要

In this paper we are concerned with boundary value problems for general second order elliptic equations and systems in a polyhedral cone. We obtain point estimates of Green's matrix in different areas of the cone. The proof of these estimates is essentially based on weighted L-2 estimates for weak solutions and their derivatives. As examples, we consider the Neumann problem to the Laplace equation and the Lame system. [References: 24]