Vasyl'yeva N. The elliptic and parabolic boundary value problems with the time derivative in the boundary condition in a plane corner and their application to free boundary problems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U002904

Thesis Registration Form

0402U002904.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

20-09-2002

Specialized Academic Board

Д 11.193.01

Essay

3. In the weight Holder spaces it is proved the existence and uniqueness of the solutions to the following boundary value problems with the dynamical condition: the boundary value problem for Poisson equation and the initial boundary value problem for the heat equation in a plane corner; the boundary value problem for the elliptic differential equation of II order with smooth coefficients depending on time in a plane domain with a corner point; the nonlinear free boundary problem to the elliptic equation (Hele-Shaw problem) in case the initial domain contains the corner point.

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Files

aref.doc

diser part1.doc

disser part2.doc

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