Singularly perturbed differential operators of second order:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
Math. Centrum
1976
|
| Series: | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts
68 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 159 S. |
| ISBN: | 9061961203 |
Staff View
MARC
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| 245 | 1 | 0 | |a Singularly perturbed differential operators of second order |c P. P. N. de Groen |
| 264 | 1 | |a Amsterdam |b Math. Centrum |c 1976 | |
| 300 | |a IX, 159 S. | ||
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| 490 | 1 | |a Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |v 68 | |
| 650 | 4 | |a singular perturbations - turning point theory - WKB methods | |
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Record in the Search Index
| _version_ | 1804118843786788864 |
|---|---|
| adam_text | CONTENTS
acknowledgements (vii)
Abstract (±x)
Introduction 1
Definitions and Notations 10
Chapter 1. Preliminaries 15
1.1 Abstract perturbation theorems 15
1.2 Sobolev spaces 17
1.3 Critical points of first order partial differential
operators in the plane 32
Chapter 2. Perturbations of d/dx 34
2
2.1 L convergence of the resolvent operator 34
2.2 Asymptotic expansions 39
2.3 Discussion of the results 46
Chapter 3. Perturbations of xd/dx 50
3.1 Examples 50
3.2 Convergence of the spectrum 52
2
3.3 Strong L convergence of the resolvent in the plus sign
case 58
3.4 Strong convergence in H ( 1,1) 63
3.5 Estimates of order 0(e) in weighted norms 67
3.6 The minus sign case: estimates in a uniform norm 76
3.7 Convergence in # ( 1,1) 80
3.8 Discussion of the results 85
Chapter 4. Elliptic perturbation of a first order operator in K
with a critical point of nodal type 89
4.1 Convergence of the spectrum 90
4.2 Strong convergence of the resolvent in the case of
an attracting node 99
4.3 Convergence of the solution on an annular subdomain
of a 103
4.4 A repelling node; convergence for Be 0 109
4.5 A proof of convergence for all A e I A by a cut off
method 112
4.6 Convergence in a (ft) 115
4.7 Discussion of the results 123
Chapter 5. Perturbation of a first order operator of vortex type 126
Chapter 6. Perturbation of a first order operator of saddle point
type 136
6.1 Convergence of the spectrum 136
6.2 Strong convergence 138
6.3 Convergence on subdomains of Q 140
6.4 Convergence in non isotropic spaces 146
References 157
|
| any_adam_object | 1 |
| author | Groen, P. P. N. de |
| author_facet | Groen, P. P. N. de |
| author_role | aut |
| author_sort | Groen, P. P. N. de |
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| building | Verbundindex |
| bvnumber | BV004725750 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)440192889 (DE-599)BVBBV004725750 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004725750 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:16:45Z |
| institution | BVB |
| isbn | 9061961203 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002905452 |
| oclc_num | 440192889 |
| open_access_boolean | |
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| owner_facet | DE-29T DE-83 DE-188 |
| physical | IX, 159 S. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Math. Centrum |
| record_format | marc |
| series | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |
| series2 | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |
| spelling | Groen, P. P. N. de Verfasser aut Singularly perturbed differential operators of second order P. P. N. de Groen Amsterdam Math. Centrum 1976 IX, 159 S. txt rdacontent n rdamedia nc rdacarrier Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts 68 singular perturbations - turning point theory - WKB methods Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts 68 (DE-604)BV000893527 68 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002905452&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Groen, P. P. N. de Singularly perturbed differential operators of second order Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts singular perturbations - turning point theory - WKB methods |
| title | Singularly perturbed differential operators of second order |
| title_auth | Singularly perturbed differential operators of second order |
| title_exact_search | Singularly perturbed differential operators of second order |
| title_full | Singularly perturbed differential operators of second order P. P. N. de Groen |
| title_fullStr | Singularly perturbed differential operators of second order P. P. N. de Groen |
| title_full_unstemmed | Singularly perturbed differential operators of second order P. P. N. de Groen |
| title_short | Singularly perturbed differential operators of second order |
| title_sort | singularly perturbed differential operators of second order |
| topic | singular perturbations - turning point theory - WKB methods |
| topic_facet | singular perturbations - turning point theory - WKB methods |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002905452&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000893527 |
| work_keys_str_mv | AT groenppnde singularlyperturbeddifferentialoperatorsofsecondorder |