The Schwarz problem for Douglis analytic functions

DOI10.1007/S10958-011-0244-7zbMath1220.30066OpenAlexW2001138679MaRDI QIDQ549520

Alexandr P. Soldatov

Publication date: 18 July 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0244-7

zbMATH Keywords

Schwarz problem\(J\)-analytic functions

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Boundary value problems in the complex plane (30E25) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Boundary value problems for first-order elliptic systems (35J56)

Related Items (10)

A criterion for the existence of nontrivial solutions to the homogeneous Schwarz problem ⋮ Schwarz problem for \(J\)-analytic functions in an ellipse ⋮ On the Schwarz problem in the case of matrices with nondiagonal Jordan forms ⋮ On solutions to the Schwarz problem in a disk in the three-dimensional case ⋮ Schwarz problem for first-order elliptic systems on the plane ⋮ Riemann-Hilbert problem for first-order elliptic systems with constant leading coefficients on the plane ⋮ Schwarz problem in ellipse for nondiagonalizable matrices ⋮ Unnamed Item ⋮ 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

Cites Work

• The Hardy space of solutions to first-order elliptic systems
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