STABLE ASYMPTOTICS FOR ELLIPTIC-SYSTEMS ON PLANE DOMAINS WITH CORNERS

We consider boundary value problems for elliptic systems in, the sense of Agmon-Douglis-Nirenberg on plane domains with corners, where the d omain, the coefficients of the operators and the right hand sides all depend on a parameter. We construct corner singularities in such away that the corresponding decomposition of the solution into regular and singular parts is stable, i. e. the regular part and the coefficients of the singular functions depend smoothly on the parameter. The constr uction of these singular functions continues the paper [3] and general izes results known for second order scalar boundary value problems - s ee [4, 5] [12].