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221028 ||| eng |
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|a 1281788678
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|a 0444881379
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|a 9780080875453
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|a 9780444881373
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|a 0080875459
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|a QA329.7
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|a Schulze, Bert-Wolfgang
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245 |
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|a Pseudo-differential operators on manifolds with singularities
|c B.-W. Schulze
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260 |
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|a Amsterdam
|b North-Holland
|c 1991, 1991
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300 |
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|a vi, 410 pages
|b illustrations
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|a Front Cover; Pseudo-Differential Operators on Manifolds with Singularities; Copyright Page; Contents; Introduction; Chapter 1. The Conormal Asymptotics on R+; Chapter 2. Operators on Manifolds with Conical Singularities; Chapter 3. Operators on Manifolds with Edges; References; Index; Symbol Index
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|a Includes bibliographical references (pages 395-401) and indexes
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653 |
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|a Variétés (Mathématiques)
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|a Singularités (Mathématiques)
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|a Pseudodifferential operators / http://id.loc.gov/authorities/subjects/sh85108264
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|a Differential equations
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653 |
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|a MATHEMATICS / Functional Analysis / bisacsh
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653 |
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|a Singularities (Mathematics) / http://id.loc.gov/authorities/subjects/sh85122871
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653 |
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|a Singularities (Mathematics) / fast / (OCoLC)fst01119502
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653 |
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|a Opérateurs pseudo-différentiels
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653 |
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|a Variétés (Mathématiques) / ram
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653 |
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|a Manifolds (Mathematics) / http://id.loc.gov/authorities/subjects/sh85080549
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653 |
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|a Opérateurs pseudo-différentiels / ram
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653 |
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|a Manifolds (Mathematics) / fast / (OCoLC)fst01007726
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653 |
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|a Pseudodifferential operators / fast / (OCoLC)fst01080853
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653 |
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|a Singularités (Mathématiques) / ram
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041 |
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7 |
|a eng
|2 ISO 639-2
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989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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490 |
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|a Studies in mathematics and its applications
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776 |
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|z 9780080875453
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776 |
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|z 0080875459
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856 |
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|u https://www.sciencedirect.com/science/bookseries/01682024/24
|x Verlag
|3 Volltext
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|a 515/.7242
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|a The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics. The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains the Mellin pseudo-differential calculus on R and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudo-differential operators along edges with cone-operator-valued symbols
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