Limansky D. "Subordinated conditions for systems of minimal and maximal differential operators in the spaces L_p(Omega)"

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U000265

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

27-12-2004

Specialized Academic Board

Д 11.193.01

Essay

In the dissertation weak coercivity criteria for a system of miminal differential operators in the isotropic (anisotropic) Sobolev spaces are obtained. Wide classes of weakly coercive but nonelliptic (nonquasielliptic respectively) systems are indicated. Sufficient conditions for a system of maximal differential operators without mixed derivatives to have the space of subordinated operators of minimal possible dimension are found. Wide classes of such systems are also indicated.

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