Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2024 Volume 231,Pages 115–123(Mi into1260)
Linear conjugation problem for the Cauchy–Riemann equation with a strong singularity in the lowest coefficient in a domain with piecewise smooth boundary
Abstract:
In this work, a general solution of the Cauchy–Riemann equation with strong singularities in the lowest coefficient is constructed and the boundary-value problem of linear conjugation in a domain with a piecewise smooth boundary is examined.
Keywords:Cauchy–Riemann equations, strong singularity, Pompeiu–Vekua operator, piecewise smooth boundary, linear conjugation problem
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