Singular perturbations of hyperbolic type:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
Math. Centrum
1978
|
| Series: | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts
98 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXII, 184 S. graph. Darst. |
| ISBN: | 9061961661 |
Staff View
MARC
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| 650 | 4 | |a Differential equations, Hyperbolic | |
| 650 | 4 | |a Initial value problems | |
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Record in the Search Index
| _version_ | 1804118845130014720 |
|---|---|
| adam_text | CONTENTS
ACKNOWLEDGEMENTS ixi
INTRODUCTION v
NOTATIONS jgj^
CHAPTER I INITIAL VALUE PROBLEMS FOR LINEAR ORDINARY
DIFFERENTIAL EQUATIONS 1
1. A priori estimates 2
2. Asymptotic expansions 7
3. The case a(t;e) £. a_ 0 12
4. Discussion 18
CHAPTER II INITIAL VALUE PROBLEMS FOR NONLINEAR ORDINARY
DIFFERENTIAL EQUATIONS 20
1. Existence and a priori estimates 20
2. Asymptotic expansions 29
CHAPTER III INITIAL VALUE PROBLEMS FOR LINEAR HYPERBOLIC
DIFFERENTIAL EQUATIONS 40
1. Preliminaries 41
2. A priori estimates 51
3. Asymptotic expansions 64
4. Discussion 71
CHAPTER IV INITIAL VALUE PROBLEMS FOR NONLINEAR HYPERBOLIC
DIFFERENTIAL EQUATIONS 77
1. Existence and a priori estimates 79
2. Asymptotic expansions 85
3. Generalized solutions of the reduced problem 96
4. Problems with a and b independent of u 106
4.1. The case d(x,t,u) = d(x,t)sinu 106
4.2. The case d{x,t,u) = djt(x,t)u + d2(x,t)u|u|V 109
CHAPTER V INITIAL BOUNDARY VALUE PROBLEMS FOR LINEAR
HYPERBOLIC DIFFERENTIAL EQUATIONS 121
1. A priori estimates 123
2. Approximations 134
2.1. A lemma 136
2.2. Construction of an approximation 143
CHAPTER VI CHARACTERISTIC BOUNDARY VALUE PROBLEMS FOR LINEAR
HYPERBOLIC DIFFERENTIAL EQUATIONS 155
1. A priori estimates 156
2. Approximations for the case without boundary
layer along x = ij (y) , y 0 168
3. Approximations for the case with boundary
layer along x = j (y) / y S 0 174
REFERENCES 180
|
| any_adam_object | 1 |
| author | Geel, R. |
| author_facet | Geel, R. |
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| callnumber-first | Q - Science |
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| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | 1\p (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV004726909 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:16:46Z |
| institution | BVB |
| isbn | 9061961661 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002906392 |
| oclc_num | 4837746 |
| open_access_boolean | |
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| owner_facet | DE-91G DE-BY-TUM DE-29T DE-29 DE-83 |
| physical | XXII, 184 S. graph. Darst. |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Math. Centrum |
| record_format | marc |
| series | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |
| series2 | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |
| spelling | Geel, R. Verfasser aut Singular perturbations of hyperbolic type R. Geel Amsterdam Math. Centrum 1978 XXII, 184 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts 98 Boundary value problems Differential equations, Hyperbolic Initial value problems Perturbation (Mathematics) 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts 98 (DE-604)BV000893527 98 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002906392&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Geel, R. Singular perturbations of hyperbolic type Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts Boundary value problems Differential equations, Hyperbolic Initial value problems Perturbation (Mathematics) |
| subject_GND | (DE-588)4113937-9 |
| title | Singular perturbations of hyperbolic type |
| title_auth | Singular perturbations of hyperbolic type |
| title_exact_search | Singular perturbations of hyperbolic type |
| title_full | Singular perturbations of hyperbolic type R. Geel |
| title_fullStr | Singular perturbations of hyperbolic type R. Geel |
| title_full_unstemmed | Singular perturbations of hyperbolic type R. Geel |
| title_short | Singular perturbations of hyperbolic type |
| title_sort | singular perturbations of hyperbolic type |
| topic | Boundary value problems Differential equations, Hyperbolic Initial value problems Perturbation (Mathematics) |
| topic_facet | Boundary value problems Differential equations, Hyperbolic Initial value problems Perturbation (Mathematics) Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002906392&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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