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Item Details
| Title:
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BOUNDARY VALUE PROBLEMS, SCHROEDINGER OPERATORS, DEFORMATION QUANTIZATION
ADVANCES IN PARTIAL DIFFERENTIAL EQUATIONS |
| By: |
M. Demuth (Editor), Elmar Schrohe (Editor), Bert-Wolfgang Schulze (Editor) |
| Format: |
Hardback |
| List price:
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£55.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3527400788 |
| ISBN 13: |
9783527400782 |
| Publisher: |
WILEY-VCH VERLAG GMBH |
| Pub. date: |
1 April, 1999 |
| Series: |
Mathematical topics IV |
| Pages: |
349 |
| Description: |
The analysis of boundary value problems has a long tradition in mathematics. Understanding the criteria for solvability and the structure of the solutions is of central interest both for theory and applications. This work includes four contributions, two of which are on deformation quantization. |
| Synopsis: |
The analysis of boundary value problems has a long tradition in mathematics. Understanding the criteria for solvability and the structure of the solutions is of central interest both for theory and applications. Boundary value problems on manifolds with singularities present an additional challenge. They exhibit a wealth of analytic and algebraic structures, also under the aspect of index theory. In the first contribution to this volume, boundary value problems without the transmission condition are interpreted as particular problems on manifolds with edges; it deals with the new effects caused by variable and branching asymptotics. In the second paper, a pseudo-differential calculus is constructed for boundary value problems on manifolds with conical singularities. A concept of ellipticity is introduced that allows a parametrix construction and entails the Fredholm property in weighted Sobolev spaces. Moreover, this approach lays the foundations for treating boundary value problems on manifolds with edges. Two further contributions deal with deformation quantization, an important topic of mathematical physics. |
| Publication: |
Germany |
| Imprint: |
Wiley-VCH Verlag GmbH |
| Returns: |
Non-returnable |
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