Arlins'kyj Y. Maximal accretive extensions of sectorial operators

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0501U000016

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

26-12-2000

Specialized Academic Board

Д26.206.01

Essay

For a given sectorial linear operator the parametrizations of all its maximal accretive and sectorial extensions, their resolvents and adjoints in terms of abstract boundary conditions and new representations of closed sectorial forms in terms of resolvents of associated operators and one-parameter semigroups are obtained. Applications to boundary value problems for second order differential operators are given.

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