Inverse problems for partial differential equations /
This book is a comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electric...
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| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
[2006]
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| Edition: | 2nd ed. |
| Series: | Applied mathematical sciences (Springer-Verlag New York Inc.) ;
127. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Preface Table of Contents
- Inverse problems
- The inverse problem of gravimetry
- The inverse conductivity problem
- The inverse scattering
- Tomography and the inverse seismic problem
- Ill-posed problems and regularization
- Well-and ill-posed problems
- Conditional correctness. Regularization
- Construction of regularizers
- Convergence of regularization
- Uniqueness and stability in the Cauchy problem
- The backward parabolic equation
- General Carleman type estimates and the Cauchy problem
- Elliptic and parabolic equations.