Geodesic
On a statement of the boundary value problem for a generalized Cauchy--Riemann equation with nonisolated singularities in a lower-order coefficient
Matematičeskie zametki, Tome 116 (2024) no. 1, pp. 139-151

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The paper studies how the statement of boundary value problems for a generalized Cauchy–Riemann equation is affected by nonisolated singularities in a lower-order coefficient of the equation assuming that these singularities are pairwise disjoint and do not pass through the origin. It turns out that posing only a condition on the boundary of the domain is insufficient in such problems. Therefore, we consider a case combining elements of the Riemann–Hilbert problem on the boundary of the domain and a linear transmission problem on the circles supporting the singularities in the lower-order coefficient inside the domain.
Keywords: generalized Cauchy–Riemann equation, singularity in a lower-order coefficient, Pompeiu–Vekua operator, Riemann–Hilbert problem, linear transmission problem. 
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     author = {A. B. Rasulov and Yu. S. Fedorov},
     title = {On a statement of the boundary value problem for a generalized {Cauchy--Riemann} equation with nonisolated singularities in a lower-order coefficient},
     journal = {Matemati\v{c}eskie zametki},
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A. B. Rasulov; Yu. S. Fedorov. On a statement of the boundary value problem for a generalized Cauchy--Riemann equation with nonisolated singularities in a lower-order coefficient. Matematičeskie zametki, Tome 116 (2024) no. 1, pp. 139-151. http://geodesic.mathdoc.fr/item/MZM_2024_116_1_a9/