On the solution of the Schwarz problem for \(J\)-analytic functions in a domain bounded by a Lyapunov contour

DOI10.1134/S0012266115070150zbMath1326.30044OpenAlexW1961961944MaRDI QIDQ745276

V. G. Nikolaev, Alexandr P. Soldatov

Publication date: 14 October 2015

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266115070150

zbMATH Keywords

domains with Lyapunov boundaryDouglis analytic functions

Mathematics Subject Classification ID

Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (7)

Schwarz problem for \(J\)-analytic functions in an ellipse ⋮ Solutions to the Schwarz problem with diagonalizable matrices in ellipse ⋮ On solutions to the Schwarz problem in a disk in the three-dimensional case ⋮ Schwarz problem for first-order elliptic systems on the plane ⋮ О решениях задачи Шварца для $J$-аналитических функций с одинаковым жордановым базисом действительной и мнимой части матрицы $J$ ⋮ On linearly independent solutions of the homogeneous Schwarz problem ⋮ A class of orthogonal polynomials on the boundary of an ellipse

Cites Work

• On the first and second boundary value problems for elliptic systems on the plane
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