## Stable asymptotics for elliptic systems on
plane domains with corners

*
Martin Costabel,
Monique Dauge
*

We consider boundary value problems for elliptic systems in the sense of
Agmon-Douglis-Nirenberg on plane domains with corners, where the domain, the
coefficients of the operators and the right hand sides all depend on a
parameter. We construct corner singularities in such a way 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 construction of these
singular functions continues the paper and generalizes
results known for second order scalar boundary value problems.

Published in *Comm. Partial Differential Equations* **19** (9-10), 1994, 1677--1726.