Geodesic
Linear conjugation problem for the Cauchy--Riemann equation with a strong singularity in the lowest coefficient in a domain with piecewise smooth boundary
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 231 (2024), pp. 115-123.

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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.
Mots-clés : Cauchy–Riemann equations
Keywords: strong singularity, Pompeiu–Vekua operator, piecewise smooth boundary, linear conjugation problem 
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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. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 231 (2024), pp. 115-123. http://geodesic.mathdoc.fr/item/INTO_2024_231_a11/

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