Los' V. Sobolev's problem for elliptic and parabolic equations and systems of equations in complete scales of spaces of generalized functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U002410

Thesis Registration Form

0400U002410.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

19-09-2000

Specialized Academic Board

Д26.206.02

Essay

Sobolev's problem is the problem, in which boundary conditions are given by linear differential expressions on manifolds of various dimensions. The thesis deal with elliptic, elliptic with parameter and parabolic Sobolev's problems for equations and systems of equations in complete Banach scales. For these problems conditions of existion of generalized solution are obtained, theorems on complete collection of isomorphisms are proved, applications are noted.

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