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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2024, Volume 231, Pages 115–123
DOI: https://doi.org/10.36535/2782-4438-2024-231-115-123 (Mi into1260) 		 
Linear conjugation problem for the Cauchy–Riemann equation with a strong singularity in the lowest coefficient in a domain with piecewise smooth boundary

A. B. Rasulov, N. V. Yakivchik

National Research University "Moscow Power Engineering Institute"
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DOI: https://doi.org/10.36535/2782-4438-2024-231-115-123
Abstract: In this work, a general solution of the Cauchy–Riemann equation with strong singularities in the lowest coefficient is constructed and the boundary-value problem of linear conjugation in a domain with a piecewise smooth boundary is examined.
Keywords: Cauchy–Riemann equations, strong singularity, Pompeiu–Vekua operator, piecewise smooth boundary, linear conjugation problem
Document Type: Article
UDC: 517.544
MSC: 30E20
Language: Russian
Citation: A. B. Rasulov, N. V. Yakivchik, “Linear conjugation problem for the Cauchy–Riemann equation with a strong singularity in the lowest coefficient in a domain with piecewise smooth boundary”, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 231, VINITI, Moscow, 2024, 115–123
Citation in format AMSBIB
\Bibitem{RasYak24}
\by A.~B.~Rasulov, N.~V.~Yakivchik
\paper Linear conjugation problem for the Cauchy--Riemann equation with a strong singularity in the lowest coefficient in a domain with piecewise smooth boundary
\inbook Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2024
\vol 231
\pages 115--123
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1260}
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