Inverse and Ill-posed Problems
Theory and Applications
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Beschreibung
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.
Autor*in
Sergey I. Kabanikhin
Themen in »Inverse and Ill-posed Problems«
Differential Equation Ill-posed Problems Integral Equation Inverse Problem Regularization Nichtlineare Operatorgleichung Lineare Operatorgleichung Inverses Problem Integralgleichung Differentialgleichung