Fedus U. Coefficient inverse problems for linear and quasilinear parabolic equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U006026

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

17-12-2009

Specialized Academic Board

К 35.051.07

Essay

Coefficient inverse problems for linear and quasilinear parabolic equations are investigated in the thesis. There were established conditions of the existence and the uniqueness of solutions to the inverse problems of identifying a time-dependent coefficient of the time derivative in the linear equations with local and nonlocal overdetermination conditions. Analogical results are obtained in the case of quasilinear parabolic equations with local boundary conditions.

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