Inverse Logarithmic Potential Problem - Inverse and Ill-Posed Problems Series - V. G. Cherednichenko - Books - De Gruyter - 9783110355369 - February 1, 1996
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V. G. Cherednichenko
Inverse Logarithmic Potential Problem - Inverse and Ill-Posed Problems Series Reprint 2014 edition

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This monograph deals with the solvability of the inverse potential problem in the two-dimensional case. A new method based on the theory of boundary-value problems for analytic functions and univalent functions is constructed, and local existence theorems, a priori estimates, and a parameter continuation method are established. Furthermore, the smoothness of the inverse problem solution is investigated. The obtained results are applied to geologic interpretation of gravitational and magnetic fields. The following sections of mathematical analyses are used: harmonic functions; boundary-value problems for analytic functions; conformal mappings; non-linear analysis; problems with unknown boundaries; moments theory; variational inequality theory; ill-posed problems theory, in particular for differential equations; and numerical methods. This monograph should be of interest to mathematicians and geophysicists working with this theory.

Media Books     Hardcover Book   (Book with hard spine and cover)
Released February 1, 1996
ISBN13 9783110355369
Publishers De Gruyter
Pages 250
Dimensions 150 × 220 × 20 mm   ·   560 g
Language German  

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