Inverse Problems for Partial Differential Equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1998
|
| Series: | Applied Mathematical Sciences
127 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book describes the contemporary state of the theory and some numerical aspects of inverse problems in partial differential equations. The topic is of substantial and growing interest for many scientists and engineers, and accordingly to graduate students in these areas. Mathematically, these problems are relatively new and quite challenging due to the lack of conventional stability and to nonlinearity and nonconvexity. Applications include recovery of inclusions from anomalies of their gravitational fields; reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurements, recovery of interior structural parameters of detail of machines and of the underground from similar data (non-destructive evaluation); and locating flying or navigated objects from their acoustic or electromagnetic fields. Currently, there are hundreds of publications containing new and interesting results. A purpose of the book is to collect and present many of them in a readable and informative form. Rigorous proofs are presented whenever they are relatively short and can be demonstrated by quite general mathematical techniques. Also, we prefer to present results that from our point of view contain fresh and promising ideas. In some cases there is no complete mathematical theory, so we give only available results. We do not assume that a reader possesses an enormous mathematical technique. In fact, a moderate knowledge of partial differential equations, of the Fourier transform, and of basic functional analysis will suffice |
| Physical Description: | 1 Online-Ressource (XI, 286 p) |
| ISBN: | 9781489900302 9781489900326 |
| DOI: | 10.1007/978-1-4899-0030-2 |
Staff View
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| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781489900302 9781489900326 |
| language | English |
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| spelling | Isakov, Victor Verfasser aut Inverse Problems for Partial Differential Equations by Victor Isakov New York, NY Springer New York 1998 1 Online-Ressource (XI, 286 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 127 This book describes the contemporary state of the theory and some numerical aspects of inverse problems in partial differential equations. The topic is of substantial and growing interest for many scientists and engineers, and accordingly to graduate students in these areas. Mathematically, these problems are relatively new and quite challenging due to the lack of conventional stability and to nonlinearity and nonconvexity. Applications include recovery of inclusions from anomalies of their gravitational fields; reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurements, recovery of interior structural parameters of detail of machines and of the underground from similar data (non-destructive evaluation); and locating flying or navigated objects from their acoustic or electromagnetic fields. Currently, there are hundreds of publications containing new and interesting results. A purpose of the book is to collect and present many of them in a readable and informative form. Rigorous proofs are presented whenever they are relatively short and can be demonstrated by quite general mathematical techniques. Also, we prefer to present results that from our point of view contain fresh and promising ideas. In some cases there is no complete mathematical theory, so we give only available results. We do not assume that a reader possesses an enormous mathematical technique. In fact, a moderate knowledge of partial differential equations, of the Fourier transform, and of basic functional analysis will suffice Mathematics Global analysis (Mathematics) Computer science / Mathematics Analysis Computational Mathematics and Numerical Analysis Theoretical, Mathematical and Computational Physics Informatik Mathematik Inverses Problem (DE-588)4125161-1 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Inverses Problem (DE-588)4125161-1 s 1\p DE-604 Applied Mathematical Sciences 127 (DE-604)BV040244599 127 https://doi.org/10.1007/978-1-4899-0030-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Isakov, Victor Inverse Problems for Partial Differential Equations Applied Mathematical Sciences Mathematics Global analysis (Mathematics) Computer science / Mathematics Analysis Computational Mathematics and Numerical Analysis Theoretical, Mathematical and Computational Physics Informatik Mathematik Inverses Problem (DE-588)4125161-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4125161-1 (DE-588)4044779-0 |
| title | Inverse Problems for Partial Differential Equations |
| title_auth | Inverse Problems for Partial Differential Equations |
| title_exact_search | Inverse Problems for Partial Differential Equations |
| title_full | Inverse Problems for Partial Differential Equations by Victor Isakov |
| title_fullStr | Inverse Problems for Partial Differential Equations by Victor Isakov |
| title_full_unstemmed | Inverse Problems for Partial Differential Equations by Victor Isakov |
| title_short | Inverse Problems for Partial Differential Equations |
| title_sort | inverse problems for partial differential equations |
| topic | Mathematics Global analysis (Mathematics) Computer science / Mathematics Analysis Computational Mathematics and Numerical Analysis Theoretical, Mathematical and Computational Physics Informatik Mathematik Inverses Problem (DE-588)4125161-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Computer science / Mathematics Analysis Computational Mathematics and Numerical Analysis Theoretical, Mathematical and Computational Physics Informatik Mathematik Inverses Problem Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-1-4899-0030-2 |
| volume_link | (DE-604)BV040244599 |
| work_keys_str_mv | AT isakovvictor inverseproblemsforpartialdifferentialequations |