Vasko O. The Cauchy problem for vector-order degenerate parabolic systems of the Kolmogorov type

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U001029

Thesis Registration Form

0416U001029.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

18-12-2015

Specialized Academic Board

K 76.051.02

Essay

The thesis is devoted to investigation of the Cauchy problem for arbitrary-order systems of the Kolmogorov type. We defined a new class of vector-order degenerate parabolic systems of the Kolmogorov type. We constructed the fundamental matrix of solutions of the Cauchy problem and investigated its basic properties. We established the correct solvability of the Cauchy problem then initial data are elements of Gelfand-Shilov spaces or weight Lebeque spaces. We investigated the localization property and conditions under which the solution is an element of the Shvartz space or Gelfand-Shilov spaces.

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Files

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Васько_main.pdf

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