Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.
Cuprins
Methods of Solving Ill-Posed Problems.- One-Dimensional Inverse Scattering and Spectral Problems.- Inverse Obstacle Scattering.- Stability of the Solutions to 3D Inverse Scattering Problems with Fixed-Energy Data.- Non-Uniqueness and Uniqueness Results.- Inverse Problems of Potential Theory and Other Inverse Source Problems.- Non-Overdetermined Inverse Problems.- Low-Frequency Inversion.- Wave Scattering by Small Bodies of Arbitrary Shapes.- The Pompeiu Problem.
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