Slyeptsova I. Quasilinear evolution equations in unbounded noncylindrical domains

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U004177

Thesis Registration Form

0405U004177.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

19-10-2005

Specialized Academic Board

Д 11.193.01

Essay

In the thesis high-order parabolic equations and evolution equations with second-order time derivative are investigated. The solvability of boundary value problems for linear equations in unbounded noncylindrical domains in the classes of growth functions has been proved. Dependence of the solvability classes on domain geometry has been investigated.The Phragmen-Lindelof theorems for quasilinear homogeneous equations have been proved. These theorems are determine the classes of growth functions, where a boundary value problem has only trivial solution.

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