Background
Cherednichenko, Victor Grigoryevich was born on June 16, 1945 in Petukhovo, Kurgan, Russia. Son of Grigori Ivanovich and Nadezhda Kuzminichna Cherednichenko.
(This monograph deals with the solvability of the inverse ...)
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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Cherednichenko, Victor Grigoryevich was born on June 16, 1945 in Petukhovo, Kurgan, Russia. Son of Grigori Ivanovich and Nadezhda Kuzminichna Cherednichenko.
Mathematics Novosibirsk State University, Russia, 1968. Mathematics science, Institute of Mathematics, Novosibirsk, 1973. Doctor of Mathematics Sciences (honorary), Moscow State University, 1984.
Science worker, Institute Mathematics Novosibirsk, 1973-1976; from lecturer to professor department mathematics, Institute Soviet Cooperative Trade, Novosibirsk, 1976-1987; department chairman mathematics, Institute Soviet Cooperative Trade, Novosibirsk, 1987-1993; professor department mathematics, Novosibirsk State Technology U., since 1993.
(This monograph deals with the solvability of the inverse ...)
Married Nelly Evgenievna Shabalina, October 8, 1968. 1 child, Tatyana Victorovna.