Functional calculus of pseudodifferential boundary problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Boston ; Basel ; Berlin
Birkhäuser
1996
|
| Edition: | 2. ed. |
| Series: | Progress in mathematics
65 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 506 - 516 |
| Physical Description: | VIII, 522 S. |
| ISBN: | 3764337389 0817637389 |
Staff View
MARC
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| 245 | 1 | 0 | |a Functional calculus of pseudodifferential boundary problems |c Gerd Grubb |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Boston ; Basel ; Berlin |b Birkhäuser |c 1996 | |
| 300 | |a VIII, 522 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Progress in mathematics |v 65 | |
| 500 | |a Literaturverz. S. 506 - 516 | ||
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Introduction
1
Chapter
1.
Standard pseudodifferential boundary
problems and their realizations
15
1.1.
Introductory remarks
15
1.2.
The calculus of pseudodifferential boundary
problems
19
1.3.
Green s formula
36
1.4.
Realizations and normal boundary conditions
44
1.5.
Parameter-ellipticity and parabolicity
54
1.6.
Adjoints
74
1.7.
Semiboundedness and coerciveness
98
Chapter
2.
The calculus of parameter-dependent
operators
126
2.1.
Parameter-dependent pseudodifferential opera¬
tors
126
2.2.
The transmission condition
158
2.3.
Parameter-dependent boundary symbols
187
2.4.
Operators and kernels
204
2.5.
Continuity, auxiliary operators
231
2.6.
Composition of boundary symbol operators
244
2.7.
Compositions in general
264
2.8.
Extension of mapping properties, negative class
277
2.9.
Strictly homogeneous symbols
284
Chapter
3.
Parametrix and resolvent construc¬
tions
292
3.1.
Ellipticity. Auxiliary reductions
292
3.2.
The parametrix construction
307
3.3.
The resolvent of a realization
336
3.4.
Other special cases
358
Chapter
4.
Some applications
368
4.1.
Evolution problems
368
4.2.
The heat operator
373
vi
CONTENTS
4.3.
An index
formula
402
4.4.
Complex
powers
406
4.5.
Spectral asymptotics
420
4.6.
Implicit eigenvalue problems
441
4.7.
Singular perturbations
453
Appendix. Various prerequisites
478
A.I. General notation
478
A.2. Functions and distributions
479
A.3. Sobolev spaces
482
A.4. Spaces over subsets of W1
484
A.5. Spaces over admissible manifolds
491
A.6. Notions from spectral theory
497
Bibliography
506
Index
517
|
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| id | DE-604.BV010621163 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:56:07Z |
| institution | BVB |
| isbn | 3764337389 0817637389 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007085718 |
| oclc_num | 246677620 |
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| owner | DE-91 DE-BY-TUM DE-355 DE-BY-UBR DE-11 DE-188 |
| owner_facet | DE-91 DE-BY-TUM DE-355 DE-BY-UBR DE-11 DE-188 |
| physical | VIII, 522 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Grubb, Gerd 1939- Verfasser (DE-588)136811175 aut Functional calculus of pseudodifferential boundary problems Gerd Grubb 2. ed. Boston ; Basel ; Berlin Birkhäuser 1996 VIII, 522 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 65 Literaturverz. S. 506 - 516 Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 s Randwertproblem (DE-588)4048395-2 s DE-604 Progress in mathematics 65 (DE-604)BV000004120 65 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007085718&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Grubb, Gerd 1939- Functional calculus of pseudodifferential boundary problems Progress in mathematics Pseudodifferentialoperator (DE-588)4047640-6 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4047640-6 (DE-588)4048395-2 |
| title | Functional calculus of pseudodifferential boundary problems |
| title_auth | Functional calculus of pseudodifferential boundary problems |
| title_exact_search | Functional calculus of pseudodifferential boundary problems |
| title_full | Functional calculus of pseudodifferential boundary problems Gerd Grubb |
| title_fullStr | Functional calculus of pseudodifferential boundary problems Gerd Grubb |
| title_full_unstemmed | Functional calculus of pseudodifferential boundary problems Gerd Grubb |
| title_short | Functional calculus of pseudodifferential boundary problems |
| title_sort | functional calculus of pseudodifferential boundary problems |
| topic | Pseudodifferentialoperator (DE-588)4047640-6 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Pseudodifferentialoperator Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007085718&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT grubbgerd functionalcalculusofpseudodifferentialboundaryproblems |