Asymptotics for elliptic boundary value problems for systems of pseudodifferential equations (Q1323087)

There is an asymptotic expansion near the boundary for the solution of an elliptic boundary value problem for a system of pseudo-differential equations on a \({\mathcal C}^ \infty\)-manifold. The Wiener-Hopf method is used to study the asymptotics for general elliptic boundary problems. A regularity result is obtained in weighted Sobolev spaces. Also there is a simple extension of results to elliptic problems of Douglis-Nirenberg type.