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This article is cited in 4 scientific papers (total in 4 papers)
Partial Differential Equations
Dirichlet problem for a generalized Cauchy–Riemann equation with a supersingular point on a half-plane
I. N. Dorofeeva, A. B. Rasulov National Research University "Moscow Power Engineering Institute", Moscow, 111250 Russia
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.
Key words:
Cauchy–Riemann operator, singular point, Vekua–Pompeiu operator, half-plane, Dirichlet- type problem.
Received: 03.02.2020 Revised: 29.05.2020 Accepted: 09.06.2020
Citation:
I. N. Dorofeeva, A. B. Rasulov, “Dirichlet problem for a generalized Cauchy–Riemann equation with a supersingular point on a half-plane”, Zh. Vychisl. Mat. Mat. Fiz., 60:10 (2020), 1734–1740; Comput. Math. Math. Phys., 60:10 (2020), 1679–1685
Linking options:
https://www.mathnet.ru/eng/zvmmf11147 https://www.mathnet.ru/eng/zvmmf/v60/i10/p1734
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Abstract page: | 65 | References: | 9 |
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