Initial boundary value problems in mathematical physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Stuttgart
Teubner
1986
Chichester [u.a.] Wiley |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 266 S. |
| ISBN: | 3519021021 0471908630 |
Internformat
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| 245 | 1 | 0 | |a Initial boundary value problems in mathematical physics |c Rolf Leis |
| 264 | 1 | |a Stuttgart |b Teubner |c 1986 | |
| 264 | 1 | |a Chichester [u.a.] |b Wiley | |
| 300 | |a VIII, 266 S. | ||
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| 338 | |b nc |2 rdacarrier | ||
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| 650 | 4 | |a Initial value problems | |
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Datensatz im Suchindex
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| DE-BY-FWS_katkey | 27037 |
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| _version_ | 1806195288470192128 |
| adam_text | Contents
1. Introduction 1
2. Linear operators 8
2.1 Function spaces 8
2.2 Linear operators 16
2.3 Discussing the Laplace operator 23
2.4 Boundary value problems 27
3. The wave equation 33
3.1 Formulation 33
3.2 Existence and uniqueness 36
4. The spectrum of A and boundary value problems 45
4.1 The spectrum of A for bounded domains 45
4.2 The spectrum of A for exterior domains 57
4.3 The unique continuation principle 64
4.4 Exterior boundary value problems 69
4.5 Representation theorems and a priori estimates 75
4.6 The limiting absorption principle 81
4.7 Integral transformations 88
5. The free space problem for the wave equation 97
5.1 A Fourier transform representation of the solution 97
5.2 Distributional solutions 100
5.3 Fundamental solutions and the Huygens principle 104
5.4 Asymptotic wave profiles 106
6. The wave equation continued: time asymptotic behaviour of the
solutions 112
6.1 Solutions in bounded domains 112
6.2 The behaviour of solutions in exterior domains 112
6.3 The existence of wave operators 116
6.4 Proof of Theorem 6.2 119
7. Linear acoustics 129
7.1 Formulation 129
7.2 Existence and uniqueness 131
vii
viii
7.3 The free space problem 133
7.4 The spectrum of A 142
8. Maxwell s equations 146
8.1 Formulation 146
8.2 Existence and uniqueness 147
8.3 The free space problem 149
8.4 Boundary value problems for bounded domains 154
8.5 Proof of the selection theorem 165
8.6 Exterior boundary value problems 167
9. Linear acoustics and Maxwell s equations continued 170
9.1 Formulation of a unified approach 170
9.2 The free space problem 174
9.3 The spectrum of A 181
9.4 Exterior boundary value problems 184
9.5 The existence of wave operators 189
10. A Schrodinger equation 191
10.1 Formulation 191
10.2 The spectrum of A 193
10.3 The free space problem 196
10.4 The existence of wave operators 197
11. Linear elasticity 201
11.1 Formulation 201
11.2 Existence and uniqueness 206
11.3 The free space problem 210
11.4 Exterior boundary value problems 217
12. The plate equation 220
12.1 Formulation 220
12.2 Existence and uniqueness 223
12.3 The free space problem 224
12.4 Exterior boundary value problems 229
13. Linear thermoelasticity 231
13.1 Formulation 231
13.2 Existence and uniqueness 233
13.3 The free space problem 236
13.4 Boundary value problems 244
Appendix 247
A.1 Proof of Theorem 5.6 247
A.2 Proof of Korn s inequality 251
References 256
Notation 262
Index 263 ,
I
|
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| author | Leis, Rolf 1931- |
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| ctrlnum | (OCoLC)12262923 (DE-599)BVBBV000531509 |
| dewey-full | 515.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3/5 |
| dewey-search | 515.3/5 |
| dewey-sort | 3515.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-08-01T16:20:54Z |
| institution | BVB |
| isbn | 3519021021 0471908630 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000327914 |
| oclc_num | 12262923 |
| open_access_boolean | |
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| physical | VIII, 266 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Teubner Wiley |
| record_format | marc |
| spellingShingle | Leis, Rolf 1931- Initial boundary value problems in mathematical physics Equacoes Diferenciais larpcal Boundary value problems Initial value problems Mathematische Physik (DE-588)4037952-8 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd Anfangswertproblem (DE-588)4001991-3 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4001990-1 (DE-588)4001991-3 |
| title | Initial boundary value problems in mathematical physics |
| title_auth | Initial boundary value problems in mathematical physics |
| title_exact_search | Initial boundary value problems in mathematical physics |
| title_full | Initial boundary value problems in mathematical physics Rolf Leis |
| title_fullStr | Initial boundary value problems in mathematical physics Rolf Leis |
| title_full_unstemmed | Initial boundary value problems in mathematical physics Rolf Leis |
| title_short | Initial boundary value problems in mathematical physics |
| title_sort | initial boundary value problems in mathematical physics |
| topic | Equacoes Diferenciais larpcal Boundary value problems Initial value problems Mathematische Physik (DE-588)4037952-8 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd Anfangswertproblem (DE-588)4001991-3 gnd |
| topic_facet | Equacoes Diferenciais Boundary value problems Initial value problems Mathematische Physik Anfangsrandwertproblem Anfangswertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000327914&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT leisrolf initialboundaryvalueproblemsinmathematicalphysics |
Inhaltsverzeichnis
THWS Schweinfurt Magazin
| Signatur: |
2900 01174 |
|---|---|
| Exemplar 1 | ausleihbar Verfügbar Bestellen |