Yaremenko N. Accretive operators and non-linear contraction semigroups

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U003502

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

21-05-2012

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The thesis is devoted to studying weakly solvability of quasi-linear elliptic and parabolic partial differential equations with slow increasing coefficients in semiscale of Sobolev spaces investigating smoothness of solutions to these equations depending on differential properties of equation structure as well as constructing nonlinear contraction semi-groups, generators of which are operators induced with the left part of given differential equations.

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