Carleman estimates for coefficient inverse problems and numerical applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Utrecht
VSP
2004
|
| Schriftenreihe: | Inverse and ill-posed problems series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references |
| Beschreibung: | IV, 282 S. |
| ISBN: | 9067644056 |
Internformat
MARC
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| 245 | 1 | 0 | |a Carleman estimates for coefficient inverse problems and numerical applications |c M.V. Klibanov and A. Timonov |
| 264 | 1 | |a Utrecht |b VSP |c 2004 | |
| 300 | |a IV, 282 S. | ||
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| 490 | 0 | |a Inverse and ill-posed problems series | |
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| 650 | 0 | 7 | |a Carleman-Methode |0 (DE-588)4288492-5 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804132813186793472 |
|---|---|
| adam_text | INVERSE AND ILL-POSED PROBLEMS SERIES CARLEMAN ESTIMATES FOR COEFFICIENT
INVERSE PROBLEMS AND NUMERICAL APPLICATIONS M.V. KLIBANOV AND A. TIMONOV
///VSP/// UTRECHT * BOSTON 2004 CONTENTS CHAPTER 1. INTRODUCTION 1 1.1.
SOME HISTORICAL REMARKS 2 1.2. MATHEMATICAL BACKGROUND 3 1.3. THE
CONCEPT OF OVERDETERMINATION 9 1.4. UNIQUENESS RESULTS IN ONE DIMENSION
14 1.5. UNIQUENESS RESULTS IN HIGH DIMENSIONS 24 1.6. A BRIEF OVERVIEW
OF UNIQUENESS RESULTS 31 CHAPTER 2. CARLEMAN ESTIMATES AND ILL-POSED
CAUCHY PROBLEMS 35 2.1. A SECOND ORDER PARTIAL DIFFERENTIAL OPERATOR 36
2.2. EXAMPLES OF CARLEMAN ESTIMATES 39 2.3. UNIQUENESS AND THE HOLDER
STABILITY 54 2.4. THE LIPSCHITZ STABILITY FOR A HYPERBOLIC CAUCHY
PROBLEM 58 2.5. ERROR ESTIMATES IN THE METHOD OF QUASIREVERSIBILITY 65
CHAPTER 3. GLOBAL UNIQUENESS RESULTS IN HIGH DIMENSIONS 77 3.1.
ESTIMATING A VOLTERRA-LIKE INTEGRAL 77 3.2. AN INVERSE PROBLEMS FOR A
HYPERBOLIC EQUATION 78 3.3. SOME INVERSE PROBLEMS FOR THE PARABOLIC
EQUATION 86 3.4. INVERSE PROBLEM FOR THE ELLIPTIC EQUATION 96 3.5. THE
GLOBAL UNIQUENESS IN A 2D INVERSE CONDUCTIVITY PROBLEM . . . 100 IV M.
V. KLIBANOV AND A. TIMONOV. CARLEMAN ESTIMATES ... CHAPTER 4. THE GLOBAL
UNIQUENESS OF A NONLINEAR PARABOLIC PROBLEM 113 4.1. PROBLEM FORMULATION
114 4.2. STATEMENT OF THE MAIN RESULT 115 4.3. AN ESTIMATE OF AN
INTEGRAL 117 4.4. THE INTEGRO-DIFFERENTIAL INEQUALITY 118 4.5. DOMAINS
123 4.6. NOTATIONS 126 4.7. A CARLEMAN ESTIMATE 129 4.8. PROOF OF THE
MAIN RESULT 144 CHAPTER 5. ON THE NUMERICAL SOLUTION OF COEFFICIENT
INVERSE PROBLEMS 149 5.1. SOME TRADITIONAL METHODS 150 5.2. USING THE
DIRICHLET-TO-NEUMANN MAP 159 5.3. CONVEXIFICATION 164 5.4. STRICT
CONVEXITY OF J , X (Q) 171 CHAPTER 6. SOME GLOBALLY CONVERGENT
CONVEXIFICATION ALGORITHMS 179 6.1. MODEL PROBLEMS IN ONE DIMENSION 180
6.2. THE RECURRENCE MINIMIZATION METHOD 184 6.3. TWO NUMERICAL METHODS
FOR NONLINEAR CONVEX PROGRAMMING . . . . 195 6.4. ERROR ESTIMATES 201
6.5. UNIFYING FRAMEWORK 209 CHAPTER 7. SOME APPLIED PROBLEMS 225 7.1.
MAGNETOTELLURIC SOUNDING OF LAYERED MEDIA 228 7.2. MAGNETOTELLURIC
SOUNDING OF 2D INHOMOGENEOUS MEDIA 244 7.3. SPACE ELECTRIC SOUNDING OF
2D INHOMOGENEOUS MEDIA 246 7.4. NEAR-INFRARED OPTICAL SENSING OF LAYERED
BIOTISSUES 249 7.5. COMPUTATIONAL TIME REVERSAL 253 BIBLIOGRAPHY 273
|
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| id | DE-604.BV019372980 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:58:47Z |
| institution | BVB |
| isbn | 9067644056 |
| language | English |
| lccn | 2004045895 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012836332 |
| oclc_num | 54913606 |
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| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | IV, 282 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | VSP |
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| series2 | Inverse and ill-posed problems series |
| spelling | Klibanov, Michael V. Verfasser aut Carleman estimates for coefficient inverse problems and numerical applications M.V. Klibanov and A. Timonov Utrecht VSP 2004 IV, 282 S. txt rdacontent n rdamedia nc rdacarrier Inverse and ill-posed problems series Includes bibliographical references Inverse problems (Differential equations) Numerical solutions Carleman-Methode (DE-588)4288492-5 gnd rswk-swf Carleman-Methode (DE-588)4288492-5 s DE-604 Timonov, Aleksandr Anatolevich Sonstige oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012836332&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Klibanov, Michael V. Carleman estimates for coefficient inverse problems and numerical applications Inverse problems (Differential equations) Numerical solutions Carleman-Methode (DE-588)4288492-5 gnd |
| subject_GND | (DE-588)4288492-5 |
| title | Carleman estimates for coefficient inverse problems and numerical applications |
| title_auth | Carleman estimates for coefficient inverse problems and numerical applications |
| title_exact_search | Carleman estimates for coefficient inverse problems and numerical applications |
| title_full | Carleman estimates for coefficient inverse problems and numerical applications M.V. Klibanov and A. Timonov |
| title_fullStr | Carleman estimates for coefficient inverse problems and numerical applications M.V. Klibanov and A. Timonov |
| title_full_unstemmed | Carleman estimates for coefficient inverse problems and numerical applications M.V. Klibanov and A. Timonov |
| title_short | Carleman estimates for coefficient inverse problems and numerical applications |
| title_sort | carleman estimates for coefficient inverse problems and numerical applications |
| topic | Inverse problems (Differential equations) Numerical solutions Carleman-Methode (DE-588)4288492-5 gnd |
| topic_facet | Inverse problems (Differential equations) Numerical solutions Carleman-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012836332&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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