Naumova M. Homogenization of nonlinear boundary value problems in domains with thin cavities

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U002074

Thesis Registration Form

0499U002074.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

19-11-1999

Specialized Academic Board

Д11.193.01

Essay

The questions of homogenization of nonlinear elliptic and parabolic boundary value problems in domains with thin cavities is studied. The integral and pointwise estimates of solutions of special model nonlinear boundary value problems are obtained. The asymptotic behavior of a sequence of solutions of problems under consideration is studied. Sufficient conditions of convergence of solutions are obtained. Certain convergence of gradients is studied. Boundary value problems in fixed domains for limit functions are constructed.

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