Abstract
For equations with a Cauchy–Riemann operator involving a strong point singularity in the lower coefficient on a half-plane, an integral representation of the solution is obtained in the class of bounded functions and a Dirichlet-type problem is studied. The calculation of the Vekua–Pompeiu integral is examined in the case when the density of the integral has strong singularities in a set of points or lines.
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Translated by N. Berestova
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Dorofeeva, I.N., Rasulov, A.B. Dirichlet Problem for a Generalized Cauchy–Riemann Equation with a Supersingular Point on a Half-Plane. Comput. Math. and Math. Phys. 60, 1679–1685 (2020). https://doi.org/10.1134/S0965542520100073
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DOI: https://doi.org/10.1134/S0965542520100073