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Symposium "Analysis on Manifolds with Singularities", Breitenbrunn 1990 (German, Paperback, 1992 ed.)
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Symposium "Analysis on Manifolds with Singularities", Breitenbrunn 1990 (German, Paperback, 1992 ed.)
Series: Teubner-Texte zur Mathematik, 131
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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.
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