The present Teubner-Text contains the contributions from the
International Workshop "Analysis in Domains and on Manifolds with
Singularities", Breitenbrunn, Germany, 30. April-5. May 1990. In recent
years the analysis on manifolds with singularities became more and more
interesting, not only because of the progress in solving corresponding
singular problems in partial differential equations but also of the new
relations to other parts of mathematics such as geometry, topology and
mathematical physics. Other motivations come from concrete models in
engineering and applied sciences which lead to partial differential
equations in domains with a piece-wise smooth geometry (conical points,
edges, comers, ..., higher singularities), piece-wise smooth data or
boundary and transmission conditions, degenerate coefficients, and so
on. There are natural relations to the numerical analysis where also the
asymptotics of solutions close to the singularities playa role. As for
the smooth cases it is necessary to develop structure principles and
unified theories that cover as much as possible the huge variety of
concrete situations, often being treated by individual papers under very
specific assumptions.