On an algebra of a certain class of operators in a slab domain in $R^2$
Hideo Ueda · Proceedings of the Japan Academy Series A Mathematical Sciences · 1996
In this paper a Dirichlet problem for the Laplacian in a domain with a corner in R 2 is treated and a new method of construction of a local parametrix for that Dirichlet problem at a corner point is given.In order to construct a parametrix a certain class of operators in a slab domain is introduced and it is shown that that operator class is an algeb- ra.