RUS  ENG
Full version
JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2025 Volume 244, Pages 93–100 (Mi into1383)

Representation of the general solution of the Cauchy–Riemann equation with strong interior and boundary singularities in lower coefficients

A. B. Rasulov, N. V. Yakivchik

National Research University "Moscow Power Engineering Institute"

Abstract: A representation of the general solution of the Cauchy–Riemann equation with interior and boundary strong singularities in the lower coefficients in a domain with piecewise smooth boundaries is constructed, which is used to study boundary-value problems.

Keywords: Cauchy–Riemann equations, strong singularity, Pompeiu–Vekua operator, piecewise smooth boundary

UDC: 517.548

MSC: 30E20

DOI: 10.36535/2782-4438-2025-244-93-100



© Steklov Math. Inst. of RAS, 2025