Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 193, Pages 11–16
DOI: https://doi.org/10.36535/0233-6723-2021-193-11-16 (Mi into795) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Holomorphic regularization in the theory of boundary-value problems

M. I. Besova

National Research University "Moscow Power Engineering Institute"
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DOI: https://doi.org/10.36535/0233-6723-2021-193-11-16
Abstract: The method of holomorphic regularization of singular perturbations is applied to a boundary-value problem for a second-order equation. We prove that after an precise description of singularities, the regular part of the solution depends analytically on the parameter.
Keywords: Tikhonov system, holomorphic regularization, analytic integral, pseudoholomorphic solution.
Document Type: Article
UDC: 517.925
MSC: 34B15
Language: Russian
Citation: M. I. Besova, “Holomorphic regularization in the theory of boundary-value problems”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 193, VINITI, Moscow, 2021, 11–16
Citation in format AMSBIB
\Bibitem{Bes21}
\by M.~I.~Besova
\paper Holomorphic regularization in the theory of boundary-value problems
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 193
\pages 11--16
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into795}
\crossref{https://doi.org/10.36535/0233-6723-2021-193-11-16}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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