Lopushanska H. Elliptic and parabolic normal boundary value problems in the spaces of the generalized functions

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0510U000545

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

29-06-2010

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

The solvability of the normal linear elliptic and parabolic boundary value problems with right-hand sides from weight spaces of the generalized functions is proved. The known classes of the right-hand sides, at which such problems are solvable, are widened. New weight spaces of the generalized functions for right-hand parts and solutions are introduced. New methods for study of the classical and the non-classical (in particular, inverse) boundary value problems in the spaces of the generalized functions are offered.

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