Email this article Boundary value problem for a generalized Cauchy–Riemann equation with singular coefficients
- Authors: Rasulov A.B.1, Soldatov A.P.1,2
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Affiliations:
- National Research University Moscow Power Engineering Institute
- Belgorod National Research University
- Issue: Vol 52, No 5 (2016)
- Pages: 616-629
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/153813
- DOI: https://doi.org/10.1134/S0012266116050086
- ID: 153813
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Abstract
For a generalized Cauchy–Riemann system whose coefficients admit higher-order singularities on a segment, we obtain an integral representation of the general solution and study a boundary value problem combining the properties of the linear conjugation problem and the Riemann–Hilbert problem in function theory.
About the authors
A. B. Rasulov
National Research University Moscow Power Engineering Institute
Author for correspondence.
Email: rasulov_abdu@rambler.ru
Russian Federation, Moscow
A. P. Soldatov
National Research University Moscow Power Engineering Institute; Belgorod National Research University
Email: rasulov_abdu@rambler.ru
Russian Federation, Moscow; Belgorod
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