Medyns'kyj I. The Cauchy problem for linear and quasilinear parabolic systems with degeneration

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U001392

Thesis Registration Form

0401U001392.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

27-04-2001

Specialized Academic Board

К 76.051.02

Essay

The results for linear parabolic systems with degeneration on the initial hyperplane, which are similar to known ones in the Cauchy problem theory for uniformly parabolic systems without degeneration is obtained. These results are used to establish the local resolvability of corresponding quasilinear systems and to find general conditions of a global resolvability of the Cauchy problem for a class of quasilinear parabolic equations.

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