Schwarz problem for first-order elliptic systems on the plane

DOI10.1134/S0012266117100081zbMath1387.30070OpenAlexW2769758197MaRDI QIDQ1701774

V. G. Nikolaev, Vladimir B. Vasilyev

Publication date: 27 February 2018

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

Full work available at URL: https://doi.org/10.1134/s0012266117100081

zbMATH Keywords

boundary value problemsDouglis analytic functions

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (6)

Schwarz problem for \(J\)-analytic functions in an ellipse ⋮ Solutions to the Schwarz problem with diagonalizable matrices in ellipse ⋮ On the Schwarz problem in the case of matrices with nondiagonal Jordan forms ⋮ Schwarz problem in ellipse for nondiagonalizable matrices ⋮ On linearly independent solutions of the homogeneous Schwarz problem ⋮ A class of orthogonal polynomials on the boundary of an ellipse

Cites Work

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• On coincidence of \(\lambda\)- and \(\mu\)-holomorphic functions on the boundary of a domain and applications to elliptic boundary value problems
• The Schwarz problem for Douglis analytic functions
• On the solution of the Schwarz problem for \(J\)-analytic functions in a domain bounded by a Lyapunov contour
• General boundary value problems for pseudo-differential equations and related difference equations
• Hyperanalytic functions and their applications
• Pseudo-Differential Equations on Manifolds with Non-smooth Boundaries

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