Inverse Logarithmic Potential Problem: (Inverse and Ill


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.

Authors: V. G. Cherednichenko

Date: 1996-02-01

Upload Date: 4/26/2017 10:02:55 PM

Format: PDF

Pages: 247

OCR:

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Language: English

ISBN / ASIN: 9067642029

ISBN13: 9789067642026

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