Romanenko I. Topoligical characteristics of fully nonlinear parabolic problems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U003454

Thesis Registration Form

0401U003454.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

11-12-2001

Specialized Academic Board

Д26.206.02

Essay

The dissertation is devoted to development of mathematical methods of analysis of solvability of the fully nonlinear initial-boundary value problems for parabolic equations of arbitrary even order. The mapping degree theory is being used for investigation. The fully nonlinear problem is being reduced to operator equation. Theorems of uniqueness, local and conditional solvability and the result of galerkin approximants convergence are proved.

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