Inverse problems and Carleman estimates: global uniqueness, global convergence and experimentaldData
This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems f...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2021]
|
| Series: | Inverse and ill-posed problems series
Volume 63 |
| Subjects: | |
| Online Access: | DE-1046 DE-858 DE-898 DE-859 DE-860 DE-91 DE-20 DE-706 DE-739 Volltext |
| Summary: | This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems for both linear and quasilinear PDEs. Next, various versions of the convexification method are developed for a number of Coefficient Inverse Problems |
| Physical Description: | 1 online resource (XVI, 328 Seiten) |
| ISBN: | 9783110745481 |
| DOI: | 10.1515/9783110745481 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T18:23:38Z |
| indexdate | 2025-02-19T17:31:30Z |
| institution | BVB |
| isbn | 9783110745481 |
| language | English |
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| publishDate | 2021 |
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| series | Inverse and ill-posed problems series |
| series2 | Inverse and ill-posed problems series |
| spelling | Klibanov, Michael V. Verfasser (DE-588)124706977X aut Inverse problems and Carleman estimates global uniqueness, global convergence and experimentaldData Michael V. Klibanov, Jingzhi Li Berlin ; Boston De Gruyter [2021] © 2021 1 online resource (XVI, 328 Seiten) txt rdacontent c rdamedia cr rdacarrier Inverse and ill-posed problems series Volume 63 This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems for both linear and quasilinear PDEs. Next, various versions of the convexification method are developed for a number of Coefficient Inverse Problems Identifikationsverfahren Inverses Problem Numerische Mathematik Li, Jingzhi Verfasser aut Erscheint auch als Druck-Ausgabe 978-3-11-074541-2 Inverse and ill-posed problems series Volume 63 (DE-604)BV044966405 63 https://doi.org/10.1515/9783110745481 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Klibanov, Michael V. Li, Jingzhi Inverse problems and Carleman estimates global uniqueness, global convergence and experimentaldData Inverse and ill-posed problems series Identifikationsverfahren Inverses Problem Numerische Mathematik |
| title | Inverse problems and Carleman estimates global uniqueness, global convergence and experimentaldData |
| title_auth | Inverse problems and Carleman estimates global uniqueness, global convergence and experimentaldData |
| title_exact_search | Inverse problems and Carleman estimates global uniqueness, global convergence and experimentaldData |
| title_exact_search_txtP | Inverse problems and Carleman estimates global uniqueness, global convergence and experimentaldData |
| title_full | Inverse problems and Carleman estimates global uniqueness, global convergence and experimentaldData Michael V. Klibanov, Jingzhi Li |
| title_fullStr | Inverse problems and Carleman estimates global uniqueness, global convergence and experimentaldData Michael V. Klibanov, Jingzhi Li |
| title_full_unstemmed | Inverse problems and Carleman estimates global uniqueness, global convergence and experimentaldData Michael V. Klibanov, Jingzhi Li |
| title_short | Inverse problems and Carleman estimates |
| title_sort | inverse problems and carleman estimates global uniqueness global convergence and experimentalddata |
| title_sub | global uniqueness, global convergence and experimentaldData |
| topic | Identifikationsverfahren Inverses Problem Numerische Mathematik |
| topic_facet | Identifikationsverfahren Inverses Problem Numerische Mathematik |
| url | https://doi.org/10.1515/9783110745481 |
| volume_link | (DE-604)BV044966405 |
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