Lectures on nonlinear wave equations
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Internat. Press
1995
|
| Schriftenreihe: | Monographs in analysis
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Sogge, Christopher D. |d 1960- |e Verfasser |0 (DE-588)104999275X |4 aut | |
| 245 | 1 | 0 | |a Lectures on nonlinear wave equations |c Christopher D. Sogge |
| 264 | 1 | |a Boston [u.a.] |b Internat. Press |c 1995 | |
| 300 | |a 159 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Monographs in analysis |v 2 | |
| 650 | 0 | 7 | |a Nichtlineare Wellengleichung |0 (DE-588)4042104-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineare Wellengleichung |0 (DE-588)4042104-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Monographs in analysis |v 2 |w (DE-604)BV011034569 |9 2 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009116684 | |
Datensatz im Suchindex
| _version_ | 1819676743650246656 |
|---|---|
| adam_text | CONTENTS
Preface
Chapter I. Background and groundwork
§1. Linear wave equation: a review 1
§2. Energy inequality: a first version 11
§3. Existence and uniqueness for linear equations 17
§4. Local existence for quasilinear equations 23
§5. Local existence for semilinear equations in
(1 + 3) dimensions 29
Notes 35
Chapter II. Quasilinear equations with small data
§1. Klainerman Sobolev inequalities 37
§2. Global existence in higher dimensions 47
§3. Null condition and global existence when n = 3 54
§4. The restriction theorem and local existence revis¬
ited 69
Notes 78
Chapter III. Semilinear equations with small data
§1. John s existence theorem for M1+3 80
§2. Inequalities of Hardy and Littlewood and radial
estimates 88
§3. Blow up for small powers 92
§4. Strichartz estimates and existence for rough data 97
§5. Proof of the inequalities 110
§6. Improved results under spherical symmetry 122
Notes 127
Chapter IV. Global existence for semilinear equa¬
tions with large data
§1. Main results 128
§2. Energy estimates and the subcritical case 133
§3. A decay lemma and the critical case 137
Notes 147
Appendix: Sobolev estimates and Hardy Littlewood
inequalities 148
1 cr
Bibliography
T A 159
Index
Index of notation 159
|
| any_adam_object | 1 |
| author | Sogge, Christopher D. 1960- |
| author_GND | (DE-588)104999275X |
| author_facet | Sogge, Christopher D. 1960- |
| author_role | aut |
| author_sort | Sogge, Christopher D. 1960- |
| author_variant | c d s cd cds |
| building | Verbundindex |
| bvnumber | BV013365475 |
| classification_rvk | SK 560 |
| ctrlnum | (OCoLC)248457246 (DE-599)BVBBV013365475 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013365475 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T15:26:24Z |
| institution | BVB |
| isbn | 1571460322 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009116684 |
| oclc_num | 248457246 |
| open_access_boolean | |
| owner | DE-703 DE-29T |
| owner_facet | DE-703 DE-29T |
| physical | 159 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Internat. Press |
| record_format | marc |
| series | Monographs in analysis |
| series2 | Monographs in analysis |
| spellingShingle | Sogge, Christopher D. 1960- Lectures on nonlinear wave equations Monographs in analysis Nichtlineare Wellengleichung (DE-588)4042104-1 gnd |
| subject_GND | (DE-588)4042104-1 |
| title | Lectures on nonlinear wave equations |
| title_auth | Lectures on nonlinear wave equations |
| title_exact_search | Lectures on nonlinear wave equations |
| title_full | Lectures on nonlinear wave equations Christopher D. Sogge |
| title_fullStr | Lectures on nonlinear wave equations Christopher D. Sogge |
| title_full_unstemmed | Lectures on nonlinear wave equations Christopher D. Sogge |
| title_short | Lectures on nonlinear wave equations |
| title_sort | lectures on nonlinear wave equations |
| topic | Nichtlineare Wellengleichung (DE-588)4042104-1 gnd |
| topic_facet | Nichtlineare Wellengleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009116684&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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