Inverse and Ill-posed Problems : Theory and Applications
Inverse problems (Differential equations) Boundary value problems Mathematics MATHEMATICS / Differential Equations / General sähkökirjat Differentialgleichung Integralgleichung Inverses Problem Lineare Operatorgleichung Nichtlineare Operatorgleichung
De Gruyter
2011
EISBN 9783110224016
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.
