Abstract non-linear wave equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1976
|
| Schriftenreihe: | Lecture notes in mathematics
507 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 128 S. graph. Darst. |
| ISBN: | 3540076174 0387076174 |
Internformat
MARC
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| 245 | 1 | 0 | |a Abstract non-linear wave equations |c Michael Reed |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1976 | |
| 300 | |a VI, 128 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 507 | |
| 650 | 7 | |a Diffusion (physique nucléaire) |2 ram | |
| 650 | 7 | |a théorie diffusion |2 inriac | |
| 650 | 4 | |a Équations d'onde | |
| 650 | 7 | |a Équations d'onde non linéaires |2 ram | |
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Datensatz im Suchindex
| _version_ | 1804116406250242048 |
|---|---|
| adam_text | Table of Contents
Introduction 1
Chapter 1 Existence and properties of solutions
1. Local and global existence 5
2. Applications:
A. utt - Au + m2u = -Xju!0 ^ , n = 3 , r, = 3 11
B. The case m = o 19
C. Other p, n and X 20
D. The sine-Gordon equation 2 5
E. An example where global existence fails 29
F. The coupled Dirac and Klein-Gordon equations 33
3. Smoothness of solutions 40
4. Finite propagation speed and continuous dependence
on the data 49
5. Weak solutions 56
6. Discussion 64
Chapter 2 Scattering theory
7. Formulation of scattering problems 67
8. Scattering for small data 71
9. Global existence for small data 88
10.Existence of the wave operators 90
VI
11. Applications:
A. The non-linear Schrodinger equation ,94
B. utt - uxx + m2u = Xup , n = 1 96
C. u t - Au + m2u = Xup ,n=3 102
D. The coupled Dirac and Klein-Gordon equations 105
12. Asymptotic completeness 110
13. Discussion 121
Bibliography 125
|
| any_adam_object | 1 |
| author | Reed, Michael 1942- |
| author_GND | (DE-588)121352889 |
| author_facet | Reed, Michael 1942- |
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| callnumber-raw | QA3L4V.507 |
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| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)612124797 (DE-599)BVBBV001963281 |
| dewey-full | 510/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.8 |
| dewey-search | 510/.8 |
| dewey-sort | 3510 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV001963281 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:38:00Z |
| institution | BVB |
| isbn | 3540076174 0387076174 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001280331 |
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| physical | VI, 128 S. graph. Darst. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Reed, Michael 1942- Verfasser (DE-588)121352889 aut Abstract non-linear wave equations Michael Reed Berlin [u.a.] Springer 1976 VI, 128 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 507 Diffusion (physique nucléaire) ram théorie diffusion inriac Équations d'onde Équations d'onde non linéaires ram équation onde inriac Nichtlineare Wellengleichung (DE-588)4042104-1 gnd rswk-swf Nichtlineare Wellengleichung (DE-588)4042104-1 s DE-604 Lecture notes in mathematics 507 (DE-604)BV000676446 507 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001280331&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Reed, Michael 1942- Abstract non-linear wave equations Lecture notes in mathematics Diffusion (physique nucléaire) ram théorie diffusion inriac Équations d'onde Équations d'onde non linéaires ram équation onde inriac Nichtlineare Wellengleichung (DE-588)4042104-1 gnd |
| subject_GND | (DE-588)4042104-1 |
| title | Abstract non-linear wave equations |
| title_auth | Abstract non-linear wave equations |
| title_exact_search | Abstract non-linear wave equations |
| title_full | Abstract non-linear wave equations Michael Reed |
| title_fullStr | Abstract non-linear wave equations Michael Reed |
| title_full_unstemmed | Abstract non-linear wave equations Michael Reed |
| title_short | Abstract non-linear wave equations |
| title_sort | abstract non linear wave equations |
| topic | Diffusion (physique nucléaire) ram théorie diffusion inriac Équations d'onde Équations d'onde non linéaires ram équation onde inriac Nichtlineare Wellengleichung (DE-588)4042104-1 gnd |
| topic_facet | Diffusion (physique nucléaire) théorie diffusion Équations d'onde Équations d'onde non linéaires équation onde Nichtlineare Wellengleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001280331&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT reedmichael abstractnonlinearwaveequations |