Inverse boundary spectral problems:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall [u.a.]
2001
|
| Schriftenreihe: | Chapman & Hall/CRC monographs and surveys in pure and applied mathematics
123 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 290 S. graph. Darst. |
| ISBN: | 1584880058 |
Internformat
MARC
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| 100 | 1 | |a Kačalov, Aleksandr |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Inverse boundary spectral problems |c Alexander Kachalov ; Yaroslav Kurylev ; Matti Lassas |
| 264 | 1 | |a Boca Raton [u.a.] |b Chapman & Hall [u.a.] |c 2001 | |
| 300 | |a 290 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Chapman & Hall/CRC monographs and surveys in pure and applied mathematics |v 123 | |
| 650 | 0 | 7 | |a Inverses Problem |0 (DE-588)4125161-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
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| 689 | 0 | 2 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Kurylev, Jaroslav V. |e Verfasser |4 aut | |
| 700 | 1 | |a Lassas, Matti |e Verfasser |4 aut | |
| 830 | 0 | |a Chapman & Hall/CRC monographs and surveys in pure and applied mathematics |v 123 |w (DE-604)BV013350872 |9 123 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Introduction xi
1 One dimensional inverse problem 1
1.1 Inverse problem and main result 1
1.2 Wave equation 11
1.3 Controllability and projectors 19
1.4 Gaussian beams 24
2 Basic geometrical and analytical methods for inverse
problems 33
2.1 Basic tools of Riemannian geometry for inverse problems 34
2.2 Elliptic operators on manifolds and gauge transforma¬
tions 57
2.3 Initial boundary value problem for wave equation ... 69
2.4 Gaussian beams 89
2.5 Carleman estimates and unique continuation 116
3 Gel fand inverse boundary spectral problem
for manifolds 147
3.1 Formulation of the problem and the main result .... 147
3.2 Fourier coefficients of waves 153
3.3 Domains of influence 156
3.4 Global unique continuation from boundary 162
3.5 Gaussian beams from the boundary 167
3.6 Domains of influence and Gaussian beams 174
3.7 Boundary distance functions 178
3.8 Reconstruction of the Riemannian manifold 181
3.9 Reconstruction of the potential 188
4 Inverse problems for the wave and other types of
equations 193
4.1 Inverse problems with different types of data 194
4.2 Dynamical inverse problem for the wave equation . . . 219
4.3 Inverse problems for heat and wave equations and con¬
tinuation of data 231
4.4 Inverse problems with data given on a part of the
boundary 240
4.5 Inverse problems for operators in Rm 249
Bibliography 266
Table of notation 285
Index 287
|
| any_adam_object | 1 |
| author | Kačalov, Aleksandr Kurylev, Jaroslav V. Lassas, Matti |
| author_facet | Kačalov, Aleksandr Kurylev, Jaroslav V. Lassas, Matti |
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| classification_rvk | SK 500 |
| classification_tum | MAT 342f |
| ctrlnum | (OCoLC)633116599 (DE-599)BVBBV013794039 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013794039 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:52:06Z |
| institution | BVB |
| isbn | 1584880058 |
| language | English |
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| physical | 290 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | Chapman & Hall [u.a.] |
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| series | Chapman & Hall/CRC monographs and surveys in pure and applied mathematics |
| series2 | Chapman & Hall/CRC monographs and surveys in pure and applied mathematics |
| spelling | Kačalov, Aleksandr Verfasser aut Inverse boundary spectral problems Alexander Kachalov ; Yaroslav Kurylev ; Matti Lassas Boca Raton [u.a.] Chapman & Hall [u.a.] 2001 290 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall/CRC monographs and surveys in pure and applied mathematics 123 Inverses Problem (DE-588)4125161-1 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Inverses Problem (DE-588)4125161-1 s Randwertproblem (DE-588)4048395-2 s DE-604 Kurylev, Jaroslav V. Verfasser aut Lassas, Matti Verfasser aut Chapman & Hall/CRC monographs and surveys in pure and applied mathematics 123 (DE-604)BV013350872 123 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009430858&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kačalov, Aleksandr Kurylev, Jaroslav V. Lassas, Matti Inverse boundary spectral problems Chapman & Hall/CRC monographs and surveys in pure and applied mathematics Inverses Problem (DE-588)4125161-1 gnd Randwertproblem (DE-588)4048395-2 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4125161-1 (DE-588)4048395-2 (DE-588)4012249-9 |
| title | Inverse boundary spectral problems |
| title_auth | Inverse boundary spectral problems |
| title_exact_search | Inverse boundary spectral problems |
| title_full | Inverse boundary spectral problems Alexander Kachalov ; Yaroslav Kurylev ; Matti Lassas |
| title_fullStr | Inverse boundary spectral problems Alexander Kachalov ; Yaroslav Kurylev ; Matti Lassas |
| title_full_unstemmed | Inverse boundary spectral problems Alexander Kachalov ; Yaroslav Kurylev ; Matti Lassas |
| title_short | Inverse boundary spectral problems |
| title_sort | inverse boundary spectral problems |
| topic | Inverses Problem (DE-588)4125161-1 gnd Randwertproblem (DE-588)4048395-2 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Inverses Problem Randwertproblem Differentialgleichung |
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| volume_link | (DE-604)BV013350872 |
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