Inverse and Ill-posed Problems
| Autor: | Sergey I. Kabanikhin |
|---|---|
| EAN: | 9783110224016 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 23.12.2011 |
| Untertitel: | Theory and Applications |
| Kategorie: | |
| Schlagworte: | Differentialgleichung Ill-posed Problems; Inverse Problem; Regularization; Integral Equation; Differential Equation Integralgleichung Inverses Problem Lineare Operatorgleichung Nichtlineare Operatorgleichung |
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The text demonstrates the methods for proving the existence (if at all) and finding of inverse and ill-posed problems solutions in linear algebra, integral and operator equations, integral geometry, spectral inverse problems, and inverse scattering problems. It is given comprehensive background material for linear ill-posed problems and for coefficient inverse problems for hyperbolic, parabolic, and elliptic equations. A lot of examples for inverse problems from physics, geophysics, biology, medicine, and other areas of application of mathematics are included.
Sergey I. Kabanikhin, Sobolev Institute of Mathematics, Novosibirsk, Russia.
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