Inverse Logarithmic Potential Problem: 5 (Inverse and Ill-Posed Problems Series, 5) - Hardcover

Chedrednichenko, V. G.

Hardcover

ISBN 10: 9067642029 ISBN 13: 9789067642026

Publisher: VSP International Science Publishers, 1996

Synopsis

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information.

About this title

Product Description

Hard to Find book

Synopsis

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.

Edition details

• Publisher: VSP International Science Publishers
• Publication date: 1996
• Language: English
• ISBN 10: 9067642029
• ISBN 13: 9789067642026
• Binding: Hardcover
• Number of pages: 254