Pseudo-differential boundary value problems, conical singularities, and asymptotics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Akad.-Verl.
1994
|
| Edition: | 1. ed. |
| Series: | Mathematical topics
4 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 567 - 571 |
| Physical Description: | 580 S. |
| ISBN: | 3055015975 |
Staff View
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| 245 | 1 | 0 | |a Pseudo-differential boundary value problems, conical singularities, and asymptotics |c Bert-Wolfgang Schulze |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Berlin |b Akad.-Verl. |c 1994 | |
| 300 | |a 580 S. | ||
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| 490 | 1 | |a Mathematical topics |v 4 | |
| 500 | |a Literaturverz. S. 567 - 571 | ||
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| 650 | 4 | |a Asymptotic expansions | |
| 650 | 4 | |a Boundary value problems | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
1 Mellin pseudo differential operators 11
1.1 Spaces with discrete asymptotics 11
1.1.1 Sobolev spaces based on the Mellin transform 11
1.1.2 The subspaces with discrete asymptotics 26
1.1.3 Green operators 43
1.1.4 Mellin symbols and Mellin operators 51
1.1.5 Notes 69
1.2 The cone algebra with discrete asymptotics 73
1.2.1 Pseudo differential operators on manifolds with conical singu¬
larities 73
1.2.2 Ellipticity, parametrices, asymptotics of solutions 91
1.2.3 The cone algebra over X* 99
1.2.4 Elements of a parameter dependent theory 113
1.2.5 Notes 117
1.3 Mellin pseudo differential operators with // (A ) valued symbols .... 122
1.3.1 Amplitude functions and distributional kernels 122
1.3.2 The algebra of Mellin ipDO s 140
1.3.3 Polar coordinates in ^DO s and Mellin operator conventions . . 165
1.3.4 Notes 172
1.4 The cone algebra with continuous asymptotics 178
1.4.1 Analytic functionals and continuous asymptotics 178
1.4.2 Green operators with continuous asymptotics 194
1.4.3 Mellin symbols and Mellin operators 197
1.4.4 The cone algebra 204
1.4.5 Ellipticity, parametrices, asymptotics of solutions 210
1.4.6 The cone algebra over X* 213
1.4.7 Notes 220
10 Contents
2 Pseudo differential boundary value problems 226
2.1 Pseudo differential operators on the half axis 226
2.1.1 The Mellin expansions of pseudo differential operators of order
zero 226
2.1.2 The Mellin expansions of pseudo differential operators of arbi¬
trary order 254
2.1.3 Another approach to Mellin conventions on IR+ 284
2.1.4 Operator valued amplitude functions 295
2.1.5 Green and smoothing Mellin amplitude functions 307
2.1.6 The boundary symbolic calculus 324
2.1.7 The ellipticity of boundary symbols 352
2.1.8 Examples and remarks 377
2.1.9 The algebra of pseudo differential operators on M+ of order zero 391
2.1.10 Mellin symbols in transmission problems 423
2.1.11 The algebra of pseudo differential operators on M+ of arbitrary
orders 431
2.1.12 The transmission property 443
2.1.13 Notes 460
2.2 Boundary value problems 466
2.2.1 Sobolev spaces and subspaces with asymptotics 466
2.2.2 Pseudo differential operators with operator valued symbols . . . 490
2.2.3 Green and smoothing Mellin operators 515
2.2.4 The algebra of pseudo differential boundary value problems . . 537
2.2.5 Ellipticity and parametrices 557
Bibliography 567
Symbol index 572
Index 576
|
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| id | DE-604.BV009545612 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:36:53Z |
| institution | BVB |
| isbn | 3055015975 |
| language | English |
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| physical | 580 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Akad.-Verl. |
| record_format | marc |
| series | Mathematical topics |
| series2 | Mathematical topics |
| spelling | Schulze, Bert-Wolfgang 1944- Verfasser (DE-588)120484579 aut Pseudo-differential boundary value problems, conical singularities, and asymptotics Bert-Wolfgang Schulze 1. ed. Berlin Akad.-Verl. 1994 580 S. txt rdacontent n rdamedia nc rdacarrier Mathematical topics 4 Literaturverz. S. 567 - 571 Opérateurs pseudo-différentielles ram Asymptotic expansions Boundary value problems Pseudodifferential operators Singularities (Mathematics) Randwertproblem (DE-588)4048395-2 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 s Randwertproblem (DE-588)4048395-2 s DE-604 Mathematical topics 4 (DE-604)BV008671507 4 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006305664&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schulze, Bert-Wolfgang 1944- Pseudo-differential boundary value problems, conical singularities, and asymptotics Mathematical topics Opérateurs pseudo-différentielles ram Asymptotic expansions Boundary value problems Pseudodifferential operators Singularities (Mathematics) Randwertproblem (DE-588)4048395-2 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4047640-6 |
| title | Pseudo-differential boundary value problems, conical singularities, and asymptotics |
| title_auth | Pseudo-differential boundary value problems, conical singularities, and asymptotics |
| title_exact_search | Pseudo-differential boundary value problems, conical singularities, and asymptotics |
| title_full | Pseudo-differential boundary value problems, conical singularities, and asymptotics Bert-Wolfgang Schulze |
| title_fullStr | Pseudo-differential boundary value problems, conical singularities, and asymptotics Bert-Wolfgang Schulze |
| title_full_unstemmed | Pseudo-differential boundary value problems, conical singularities, and asymptotics Bert-Wolfgang Schulze |
| title_short | Pseudo-differential boundary value problems, conical singularities, and asymptotics |
| title_sort | pseudo differential boundary value problems conical singularities and asymptotics |
| topic | Opérateurs pseudo-différentielles ram Asymptotic expansions Boundary value problems Pseudodifferential operators Singularities (Mathematics) Randwertproblem (DE-588)4048395-2 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Opérateurs pseudo-différentielles Asymptotic expansions Boundary value problems Pseudodifferential operators Singularities (Mathematics) Randwertproblem Pseudodifferentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006305664&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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