Chukhrai L. Estimation of parameters degenerate partial differential equations under uncertainty

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U004506

Applicant for

Specialization

  • 01.05.04 - Системний аналіз і теорія оптимальних рішень

08-09-2011

Specialized Academic Board

26.001.35

Essay

In thesis obtained results substantiated the theory of guaranteed estimation and inverse problems in a degenerate partial differential equations. The existence and uniqueness of problem solution diffusion coefficient of the degenerate parabolic equation. Received Minimax estimation of linear functionals of the boundary conditions for a singular one-dimensional parabolic equation. Found Minimax estimation of linear functionals of solutions of hyperbolic and parabolic equations with discontinuous coefficients for the observation as the system described by these equations.

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