Asymptotics for elliptic mixed boundary problems: pseudo-differential and Mellin operators in spaces with conormal singularity
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Akademie-Verlag
1989
|
| Series: | Mathematical research
50 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 418 Seiten |
| ISBN: | 3055006763 |
Staff View
MARC
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| 245 | 1 | 0 | |a Asymptotics for elliptic mixed boundary problems |b pseudo-differential and Mellin operators in spaces with conormal singularity |c by Stephan Rempel and Bert-Wolfgang Schulze |
| 264 | 1 | |a Berlin |b Akademie-Verlag |c 1989 | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
1. Operators on the half axis.. ........11
1.1. The Mellin transform... 11
1.2. Spaces of functions with discrete conormal singularity.......16
1.2.1. The spaces y?(R+) and C~^(R+) 16
1.2.2. Tensor products and Green operators 33
1.3. Mellin operators.. .....45
1.3.1. Definition and basic properties 46
1.3.2. Compositions and Fredholn property..... ......56
1.4. Pseudo differential operators. 61
1.4.1. Mellin expansion and conormal syabols .61
1.4.2. The action in jf (IR+) 68
1.5. The algebracC^ ^O) 71
1.5.1. Compositions of Mellin and Green operators with pseudo
differential operators 71
1.5.2. Compositions of pseudo differential operators................73
1.5.3. Ellipticity of operators ineCfR 1^) 78
1.6. Notes .84
2. Continuous asyaptotics and higher order operators.. .....89
2.1. Spaces of functions with continuous conormal singularity.....89
2.1.1. The spaces ;f.(R+) and C~A.(R+) 89
2.1.2. Spaces of the type CmVL$A). C(f2. fy). 115
2.1.3. Other spaces with asynptotics. ........124
2.2. Operators with continuous singularity.. 126
2.2.1. The action of operators on if (R+)..... 126
2.2.2. Spaces of the typeZ^i, and the algebra CtflR*1) 147
2.2.3. The algebra #J(JLdRd) and ellipticity 174
2.3. Boundary symbolic calculus ...............178
2.3.1. The Mellin transform of Sobolev spaces ..178
2.3.2. Spaces with asymptotics ......191
2.3.3. G reen opera tors 198
2.3.4. Mellin operators ......••208
2.3.5. Pseudo differential operators of arbitrary orders...........218
2.3.6. The algebras oCand fy°! 236
2.4. Notes 246
3. Boundary value problems.....................................252
3.1. Function spaces ............................252
3.1.1. The spaces J^s.^ (IRj) 253
3.1.2. Subspaces with asymptotics 262
3.2. Boundary value problems without the transmission
property 270
3.2.1. Green operators without boundary symbols ....270
3.2.2. Green operators with boundary symbols 280
3.2.3. Mellln operators 294
3.2.4. The class # 301
3.2.5. Ellipticity and Fredholn property 307
3.3. Notes 313
4. Mixed boundary value problems on manifolds with edges.......320
4.1. Function spaces 322
4.1.1. Function spaces on a cone...................................322
4.1.2. Function spaces on a wsdgs 328
4.2. Operators on a cone. 331
4.2.1. Green operators. .332
4.2.2. Mellin operators 337
4.2.3. The algebra C~on a cone 345
4.2.4. The case of a cone with boundary 365
4.2.5. Notes 376
4.3. Operators on a wedge 379
4.3.1. 92 Green operators...... .........380
4.3.2. 32 Mellin operators 388
4.3.3. The class lO^t 9aC 0 393
4.3.4. The class t^: dtC i 0 397
4.3.5. Ellipticity and Fredholm property .......402
4.3.6. Notes 406
References 407
Index 415
|
| any_adam_object | 1 |
| author | Rempel, Stephan Schulze, Bert-Wolfgang 1944- |
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| dewey-ones | 515 - Analysis |
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| id | DE-604.BV001866083 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:36:46Z |
| institution | BVB |
| isbn | 3055006763 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001233056 |
| oclc_num | 20696982 |
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| owner_facet | DE-12 DE-703 DE-739 DE-706 DE-634 DE-83 DE-11 DE-188 |
| physical | 418 Seiten |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Akademie-Verlag |
| record_format | marc |
| series | Mathematical research |
| series2 | Mathematical research |
| spelling | Rempel, Stephan (DE-588)115652434 aut Asymptotics for elliptic mixed boundary problems pseudo-differential and Mellin operators in spaces with conormal singularity by Stephan Rempel and Bert-Wolfgang Schulze Berlin Akademie-Verlag 1989 418 Seiten txt rdacontent n rdamedia nc rdacarrier Mathematical research 50 Boundary value problems Asymptotic theory Elliptisches Randwertproblem (DE-588)4193399-0 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 s Elliptisches Randwertproblem (DE-588)4193399-0 s DE-604 Schulze, Bert-Wolfgang 1944- (DE-588)120484579 aut Mathematical research 50 (DE-604)BV000008585 50 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001233056&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rempel, Stephan Schulze, Bert-Wolfgang 1944- Asymptotics for elliptic mixed boundary problems pseudo-differential and Mellin operators in spaces with conormal singularity Mathematical research Boundary value problems Asymptotic theory Elliptisches Randwertproblem (DE-588)4193399-0 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4193399-0 (DE-588)4047640-6 |
| title | Asymptotics for elliptic mixed boundary problems pseudo-differential and Mellin operators in spaces with conormal singularity |
| title_auth | Asymptotics for elliptic mixed boundary problems pseudo-differential and Mellin operators in spaces with conormal singularity |
| title_exact_search | Asymptotics for elliptic mixed boundary problems pseudo-differential and Mellin operators in spaces with conormal singularity |
| title_full | Asymptotics for elliptic mixed boundary problems pseudo-differential and Mellin operators in spaces with conormal singularity by Stephan Rempel and Bert-Wolfgang Schulze |
| title_fullStr | Asymptotics for elliptic mixed boundary problems pseudo-differential and Mellin operators in spaces with conormal singularity by Stephan Rempel and Bert-Wolfgang Schulze |
| title_full_unstemmed | Asymptotics for elliptic mixed boundary problems pseudo-differential and Mellin operators in spaces with conormal singularity by Stephan Rempel and Bert-Wolfgang Schulze |
| title_short | Asymptotics for elliptic mixed boundary problems |
| title_sort | asymptotics for elliptic mixed boundary problems pseudo differential and mellin operators in spaces with conormal singularity |
| title_sub | pseudo-differential and Mellin operators in spaces with conormal singularity |
| topic | Boundary value problems Asymptotic theory Elliptisches Randwertproblem (DE-588)4193399-0 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Boundary value problems Asymptotic theory Elliptisches Randwertproblem Pseudodifferentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001233056&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000008585 |
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