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

Chedrednichenko, V. G.

 
9789067642026: Inverse Logarithmic Potential Problem: 5 (Inverse and Ill-Posed Problems Series, 5)
Hardcover
ISBN 10: 9067642029 ISBN 13: 9789067642026
Publisher: VSP International Science Publishers, 1996

Synopsis

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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.

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

Other Popular Editions of the Same Title

9783110355369: Inverse Logarithmic Potential Problem: 5 (Inverse and Ill-Posed Problems Series, 5)

Featured Edition

ISBN 10:  3110355361 ISBN 13:  9783110355369
Publisher: De Gruyter, 1996
Hardcover