Tsapovs'ka Z. Application of the potential method to solving of parabolic coupling problems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U001022

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

16-02-2006

Specialized Academic Board

К 35.051.07

Essay

An initial-boundary problem for the second order general linear uniformly parabolic equation with Wenzel boundary condition and its generalization, a parabolic coupling problem in which one of coupling conditions as well as Wentzel boundary condition has the form of a parabolic equation with respect to the tangent variables are established by using of methods of the potential theory. The obtained results are applied to studying, with the aid of analytical methods, some problems of the theory of diffusion processes.

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