Large time behavior of solutions of linear dispersive equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
| Schriftenreihe: | Lecture notes in mathematics
1668 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 203 S. |
| ISBN: | 3540634347 |
Internformat
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| 100 | 1 | |a Dix, Daniel B. |d 1959- |e Verfasser |0 (DE-588)115525386 |4 aut | |
| 245 | 1 | 0 | |a Large time behavior of solutions of linear dispersive equations |c Daniel B. Dix |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a XIV, 203 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1668 | |
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Datensatz im Suchindex
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| adam_text | CONTENTS
Introduction vii
Chapter I. Laplace expansions, outer regions 1
1.1 Generalities, Notation 1
1.2 Saddle points and contours 9
1.3 Terms of the expansion, for the contour C 29
1.4 Error control, for the contour C 35
1.5 Asymptotic behavior of V(k) as k 4 oo 44
1.6 Terms of the expansion, for the contour Cj 56
1.7 Error control, for the contour Cj 65
Chapter II. Expansion in the inner region, Matching 75
2.1 Expansion and the error term 75
2.2 Error control, for the contour C 82
2.3 Error control, for the contour Cj 86
2.4 Matching 91
Chapter III. Uniformly Valid Expansions as i —^ oo 96
3.1 The contours Cj, C^j and Cj 96
3.2 The Uniform Expansion of I(x,t) 107
Chapter IV. Special Results for Special Cases 114
4.1 The Case r = 2 114
4.2 Large x asymptotics when r = 2 120
4.3 The Linear Schrodinger Equation 123
4.4 The Linearized Benjamin Ono Equation 127
4.5 The Case r = 3 135
4.6 The Linearized Korteweg de Vries Equation 147
Chapter V. Applications 155
5.1 Self Similar Asymptotic Approximations 155
5.2 Sharp L decay estimates, Smoothing Effects 160
5.3 Asymptotic Balance as t — oo 169
5.4 Asymptotic Behavior as |x| — • oo 186
References 194
Subject Index 198
|
| any_adam_object | 1 |
| author | Dix, Daniel B. 1959- |
| author_GND | (DE-588)115525386 |
| author_facet | Dix, Daniel B. 1959- |
| author_role | aut |
| author_sort | Dix, Daniel B. 1959- |
| author_variant | d b d db dbd |
| building | Verbundindex |
| bvnumber | BV011470238 |
| classification_rvk | SI 850 SK 500 SK 540 |
| classification_tum | MAT 352f MAT 671f |
| ctrlnum | (OCoLC)246274460 (DE-599)BVBBV011470238 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011470238 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:10:20Z |
| institution | BVB |
| isbn | 3540634347 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007717026 |
| oclc_num | 246274460 |
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| physical | XIV, 203 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Dix, Daniel B. 1959- Verfasser (DE-588)115525386 aut Large time behavior of solutions of linear dispersive equations Daniel B. Dix Berlin [u.a.] Springer 1997 XIV, 203 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1668 Wellengleichung (DE-588)4065315-8 gnd rswk-swf Lineare partielle Differentialgleichung (DE-588)4167708-0 gnd rswk-swf Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd rswk-swf Anfangswertproblem (DE-588)4001991-3 gnd rswk-swf Lineare partielle Differentialgleichung (DE-588)4167708-0 s Wellengleichung (DE-588)4065315-8 s Anfangswertproblem (DE-588)4001991-3 s Asymptotisches Lösungsverhalten (DE-588)4134367-0 s DE-604 Lecture notes in mathematics 1668 (DE-604)BV000676446 1668 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007717026&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dix, Daniel B. 1959- Large time behavior of solutions of linear dispersive equations Lecture notes in mathematics Wellengleichung (DE-588)4065315-8 gnd Lineare partielle Differentialgleichung (DE-588)4167708-0 gnd Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd Anfangswertproblem (DE-588)4001991-3 gnd |
| subject_GND | (DE-588)4065315-8 (DE-588)4167708-0 (DE-588)4134367-0 (DE-588)4001991-3 |
| title | Large time behavior of solutions of linear dispersive equations |
| title_auth | Large time behavior of solutions of linear dispersive equations |
| title_exact_search | Large time behavior of solutions of linear dispersive equations |
| title_full | Large time behavior of solutions of linear dispersive equations Daniel B. Dix |
| title_fullStr | Large time behavior of solutions of linear dispersive equations Daniel B. Dix |
| title_full_unstemmed | Large time behavior of solutions of linear dispersive equations Daniel B. Dix |
| title_short | Large time behavior of solutions of linear dispersive equations |
| title_sort | large time behavior of solutions of linear dispersive equations |
| topic | Wellengleichung (DE-588)4065315-8 gnd Lineare partielle Differentialgleichung (DE-588)4167708-0 gnd Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd Anfangswertproblem (DE-588)4001991-3 gnd |
| topic_facet | Wellengleichung Lineare partielle Differentialgleichung Asymptotisches Lösungsverhalten Anfangswertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007717026&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT dixdanielb largetimebehaviorofsolutionsoflineardispersiveequations |