Yakymchyk A. BOUNDARY PROBLEM OF THE RECONSTRUCTING OF THE POTENTIAL FROM THE MODULUS OF ITS GRADIENT

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U003059

Thesis Registration Form

0401U003059.pdf

Applicant for

Specialization

  • 04.00.22 - Геофізика

08-11-2001

Specialized Academic Board

Д26.200.01

Essay

The thesis for a candidate's degree is devoted to development of a theory and solution methods of problem for potential recovery by the modulus of its gradient provided that potential is similar to given one. The method of the potential recovery as the limit of the succession of the boundary problems of Neumann's for the Laplace's equation that define a disturbing potential was proposed. The succession of the disturbing potential is generated by the succession of the solutions of linear integral equations of the second kind with compact operators having large cores. A correct solubility of the equation of type given is established, and the convergence of succession of the Neumann's solutions problems to function unique generating the desired is proved.

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