Grishchuk N. Minimax estimation of parameters of elliptic and parabolic eguations under uncertainty conditions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U003682

Thesis Registration Form

0404U003682.pdf

Applicant for

Specialization

  • 01.05.04 - Системний аналіз і теорія оптимальних рішень

06-10-2004

Specialized Academic Board

Д 26.001.35

Taras Shevchenko National University of Kyiv

Essay

In the tesis we elaborate a minimax approach to the problem of estimation of parameters of the degenerate Neumann problem for linear second order elliptic eguations for which, under certain conditions on right-hand sides of eguations and boundary data, there exists an infinite set of solutions differing by additive constans. Here we a class of noisy observations distributed on a system of surfaces located in the domain, where this problem is defined(and possibly on its boundary), and depending both on solutions and on their co-normal derivatives.

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Files

DisNat2.pdf

aref.doc

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