Skrypnik I. Local behaviour of solutions of quasilinear elliptic and parabolic equations

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0506U000024

Thesis Registration Form

0506U000024.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

28-12-2005

Specialized Academic Board

Д 11.193.01

Essay

The dissertation is devoted to the study of local behaviour of solutions of quasilinear elliptic and parabolic equations near nonsmath boundary and near the isolated singularities. For quasilinear parabolic equations of diffusion and porous medium types, the Winer criterion is proved. Exact conditions of removability of singularities for solutions of general elliptic and parabolic equations, and equations with absorbtion term are proved. For solutions of general quasilinear elliptic equations with coefficients from the Kato class, the Harnack-type inequality and exact conditions of removability of singularities are proved.

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автореферат.pdf

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