Analysis on Singular Spaces Analysis on Singular Spaces

Analysis on Singular Spaces (Paperback)

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R 4,508
Publisher: LAP Lambert Academic Publishing
Edition: Paperback
ISBN: 3845444460
EAN: 9783845444468
No. of Units: 1
No. of Pages: 92
Publish Date: 2011-9-30
Binding: Paperback
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Description

The method of layer potentials is one of the classical approaches to solving boundary value problems for (strongly) elliptic equations. This method reduces the original problem to that of inverting an operator of the form "1/2 +K" on appropriate boundary function spaces. Recently, this method has attacted considerable attention both in the theoretical and the applied mathematics. This dissertation deals with the method of layer potentials on domains with conical points from a groupoid point of view. By a desingularization process and integration of a Lie algebroid, we can construct a Lie groupoid that encodes the geometry and singularities of this domain. Then we identify the double layer potential operator K with an invariant family of that Lie groupoid. From this, we can obtain the Fredholmness of the operator "1/2+K."
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Specification

Title: Analysis on Singular Spaces
Publisher: LAP Lambert Academic Publishing
Edition: Paperback
ISBN: 3845444460
EAN: 9783845444468
No. of Units: 1
No. of Pages: 92
Publish Date: 2011-9-30
Binding: Paperback

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