Protsakh N. Initial-boundary value problems for nonlinear evolutionary equations and ultraparabolic variational inequalities

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0515U000734

Thesis Registration Form

0515U000734.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

15-09-2015

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

The estimates of the solutions and sufficient conditions of existence and uniqueness of weak solutions are obtained for nonlinear ultraparabolic variational inequalities, for the inverse problems of determination of the right-hand side for semilinear ultraparabolic equations, for initial-boundary value problems in bounded or unbounded domains for 1) nonlinear hyperbolic equations of the third order with variable exponents, 2) nonlinear ultraparabolic equations with monotone and non-monotone major parts, for generate ultraparabolic equations, and for the equations with the integro-differential operator.

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Files

protsakh_aref.pdf

protsakh_dis.pdf

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