Pseudo-differential operators on manifolds with singularities:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam
North-Holland
1991
|
| Series: | Studies in mathematics and its applications
v. 24 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 Includes bibliographical references (p. [395]-401) and indexes |
| Physical Description: | 1 Online-Ressource (vi, 410 p.) |
| ISBN: | 9780444881373 0444881379 |
Staff View
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| indexdate | 2024-07-10T01:18:17Z |
| institution | BVB |
| isbn | 9780444881373 0444881379 |
| language | English |
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| spelling | Schulze, Bert-Wolfgang Verfasser aut Pseudo-differential operators on manifolds with singularities B.-W. Schulze Amsterdam North-Holland 1991 1 Online-Ressource (vi, 410 p.) txt rdacontent c rdamedia cr rdacarrier Studies in mathematics and its applications v. 24 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 Includes bibliographical references (p. [395]-401) and indexes Opérateurs pseudo-différentiels ram Singularités (Mathématiques) ram Variétés (Mathématiques) ram Manifolds (Mathematics) fast Pseudodifferential operators fast Singularities (Mathematics) fast Pseudodifferential operators Singularities (Mathematics) Manifolds (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Singularität Mathematik (DE-588)4077459-4 s Pseudodifferentialoperator (DE-588)4047640-6 s 1\p DE-604 http://www.sciencedirect.com/science/book/9780444881373 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schulze, Bert-Wolfgang Pseudo-differential operators on manifolds with singularities Opérateurs pseudo-différentiels ram Singularités (Mathématiques) ram Variétés (Mathématiques) ram Manifolds (Mathematics) fast Pseudodifferential operators fast Singularities (Mathematics) fast Pseudodifferential operators Singularities (Mathematics) Manifolds (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4047640-6 (DE-588)4037379-4 |
| title | Pseudo-differential operators on manifolds with singularities |
| title_auth | Pseudo-differential operators on manifolds with singularities |
| title_exact_search | Pseudo-differential operators on manifolds with singularities |
| title_full | Pseudo-differential operators on manifolds with singularities B.-W. Schulze |
| title_fullStr | Pseudo-differential operators on manifolds with singularities B.-W. Schulze |
| title_full_unstemmed | Pseudo-differential operators on manifolds with singularities B.-W. Schulze |
| title_short | Pseudo-differential operators on manifolds with singularities |
| title_sort | pseudo differential operators on manifolds with singularities |
| topic | Opérateurs pseudo-différentiels ram Singularités (Mathématiques) ram Variétés (Mathématiques) ram Manifolds (Mathematics) fast Pseudodifferential operators fast Singularities (Mathematics) fast Pseudodifferential operators Singularities (Mathematics) Manifolds (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| topic_facet | Opérateurs pseudo-différentiels Singularités (Mathématiques) Variétés (Mathématiques) Manifolds (Mathematics) Pseudodifferential operators Singularities (Mathematics) Singularität Mathematik Pseudodifferentialoperator Mannigfaltigkeit |
| url | http://www.sciencedirect.com/science/book/9780444881373 |
| work_keys_str_mv | AT schulzebertwolfgang pseudodifferentialoperatorsonmanifoldswithsingularities |