Potapenko O. Boundary value problems in infinite-dimensional manifolds

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0419U003738

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

11-09-2019

Specialized Academic Board

К 26.002.31

Publishing and Printing Institute of Igor Sikorsky Kyiv Polytechnic Institute

Essay

The dissertation deals with studying boundary value problems in nonlinear infinite-dimensional manifolds. Conditions on Riemannian manifold that guarantee correctness of a class of Dirichlet problems with Laplacian with respect to measure are found. Diffeomorphisms method of broadening class of correct boundary value problems is introduced.

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