A Linear Matching Problem for a Generalized Cauchy–Riemann Equation with Super-Singular Points on a Half-Plane

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.

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2022-11, Vol.62 (11), p.1859-1864
Main Authors: Dorofeeva, I. N., Rasulov, A. B.
Format: Article
Language:English
Subjects:
Cauchy-Riemann equations
Computational Mathematics and Numerical Analysis
Matching
Mathematics
Mathematics and Statistics
Operators (mathematics)
Partial Differential Equations
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Description
Summary: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.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542522110069