Integral Representation of Solutions and Riemann–Hilbert Type Problem for the Cauchy–Riemann Equation with Strong Singularity in the Lower Order Coefficient in a Domain with Piecewise Smooth Boundary

The goal of this work is to construct the general solution of the Cauchy–Riemann equation with strong singularities in the lower order coefficient and to study the Riemann–Hilbert boundary value problem in a domain with a piecewise smooth boundary.

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Publication Details

Journal
Computational Mathematics and Mathematical Physics
Published
2024-11-01
DOI
https://doi.org/10.1134/s0965542524701446
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

Integral Representation of Solutions and Riemann–Hilbert Type Problem for the Cauchy–Riemann Equation with Strong Singularity in the Lower Order Coefficient in a Domain with Piecewise Smooth Boundary

А. Б. Расулов, Natalia V. Yakivchik
Computational Mathematics and Mathematical Physics
Differential Equations and Boundary Problems
article

Integral Representation of Solutions and Riemann–Hilbert Type Problem for the Cauchy–Riemann Equation with Strong Singularity in the Lower Order Coefficient in a Domain with Piecewise Smooth Boundary

А. Б. Расулов, Natalia V. Yakivchik
article en

Abstract

The goal of this work is to construct the general solution of the Cauchy–Riemann equation with strong singularities in the lower order coefficient and to study the Riemann–Hilbert boundary value problem in a domain with a piecewise smooth boundary.

Computational Mathematics and Mathematical PhysicsVol. 64(11)
Moscow Power Engineering Institute (RU)
Openalex Percentile: Top 60%
Differential Equations and Boundary Problems
DOISourceOpenAlex
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Integral Representation of Solutions and Riemann–Hilbert Type Problem for the Cauchy–Riemann Equation with Strong Singularity in the Lower Order Coefficient in a Domain with Piecewise Smooth Boundary — А. Б. Расулов, Natalia V. Yakivchik · Computational Mathematics and Mathematical Physics (2024) | TGRS Research Map | TGRS