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This article is cited in 1 scientific paper (total in 1 paper)
Partial Differential Equations
A linear matching problem for a generalized Cauchy–Riemann equation with super-singular points on a half-plane
I. N. Dorofeeva, A. B. Rasulov National Research University MPEI, 111250, Moscow, Russia
Abstract:
For an equation with the Cauchy–Riemann operator with strong isolated point singularities in the lowest coefficient, an integral representation of the solution is found in the class of functions bounded at infinity and a linear matching problem on the half-plane is studied.
Key words:
Cauchy–Riemann operator, strong point singularities, Pompeiu–Vekua operator, half-plane, linear matching problem.
Received: 20.05.2021 Revised: 20.05.2021 Accepted: 07.07.2022
Citation:
I. N. Dorofeeva, A. B. Rasulov, “A linear matching problem for a generalized Cauchy–Riemann equation with super-singular points on a half-plane”, Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022), 1861–1866; Comput. Math. Math. Phys., 62:11 (2022), 1859–1864
Linking options:
https://www.mathnet.ru/eng/zvmmf11471 https://www.mathnet.ru/eng/zvmmf/v62/i11/p1861
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