Singular perturbations of hyperbolic type:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Math. Centrum
1978
|
| Schriftenreihe: | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts
98 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXII, 184 S. graph. Darst. |
| ISBN: | 9061961661 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV004726909 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 920227s1978 d||| |||| 00||| engod | ||
| 020 | |a 9061961661 |9 90-6196-166-1 | ||
| 035 | |a (OCoLC)4837746 | ||
| 035 | |a (DE-599)BVBBV004726909 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-29T |a DE-29 |a DE-83 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 515/.353 | |
| 084 | |a 35B25 |2 msc | ||
| 084 | |a 34E15 |2 msc | ||
| 100 | 1 | |a Geel, R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Singular perturbations of hyperbolic type |c R. Geel |
| 264 | 1 | |a Amsterdam |b Math. Centrum |c 1978 | |
| 300 | |a XXII, 184 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |v 98 | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Differential equations, Hyperbolic | |
| 650 | 4 | |a Initial value problems | |
| 650 | 4 | |a Perturbation (Mathematics) | |
| 655 | 7 | |8 1\p |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 830 | 0 | |a Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |v 98 |w (DE-604)BV000893527 |9 98 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002906392 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _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. |
| author_role | aut |
| author_sort | Geel, R. |
| author_variant | r g rg |
| building | Verbundindex |
| bvnumber | BV004726909 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)4837746 (DE-599)BVBBV004726909 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01581nam a2200409 cb4500</leader><controlfield tag="001">BV004726909</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">920227s1978 d||| |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9061961661</subfield><subfield code="9">90-6196-166-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)4837746</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004726909</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.353</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35B25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">34E15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Geel, R.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Singular perturbations of hyperbolic type</subfield><subfield code="c">R. Geel</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam</subfield><subfield code="b">Math. Centrum</subfield><subfield code="c">1978</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXII, 184 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts</subfield><subfield code="v">98</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Boundary value problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Hyperbolic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Initial value problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Perturbation (Mathematics)</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts</subfield><subfield code="v">98</subfield><subfield code="w">(DE-604)BV000893527</subfield><subfield code="9">98</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002906392</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| 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 | |
| owner | DE-91G DE-BY-TUM DE-29T DE-29 DE-83 |
| 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 |
| volume_link | (DE-604)BV000893527 |
| work_keys_str_mv | AT geelr singularperturbationsofhyperbolictype |