Inverse and Ill-posed Problems

Inverse and Ill-posed Problems

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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.CalderA²n, A.P. (1958). Uniqueness in the Cauchy ... Numerical solution of ill- posed Cauchy problems for PDEa#39;s. In: Minicourse on ... E. (1995). Multidimensional Inverse and Ill-Posed Problems for Differential Equations. VSP, The Netherlands. ... Methods ofMathematical Physics. Section B.2 Supplementary references 427.

Title:Inverse and Ill-posed Problems
Author: Sergey I. Kabanikhin
Publisher:Walter de Gruyter - 2011-12-23

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