Stable asymptotics of the solution to the Dirichlet problem for elliptic equations of second order in domains with angular points or edges

Abstract

The Dirichlet problem for second order elliptic equations will be considered in plane domains with angular corners and in N-dimensional domains with smooth (N-2)-dimensional edges. The asymptotical decomposition of the solution will be found even in the case when the opening of the angle runs through a critical value.