Schwarz problem for first-order elliptic systems on the plane

Schwarz problem for first-order elliptic systems on the plane

We consider the Schwarz problem for J -analytic functions for the case in which the Jordan basis Q of the matrix J contains complex conjugate vectors. Conditions on the matrix Q are obtained under which there exists a unique solution of the Schwarz problem in Hölder classes.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Differential equations 2017-10, Vol.53 (10), p.1318-1328
Hauptverfasser: Vasil’ev, V. B., Nikolaev, V. G.
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Difference and Functional Equations
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrix algebra
Matrix methods
Ordinary Differential Equations
Partial Differential Equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider the Schwarz problem for J -analytic functions for the case in which the Jordan basis Q of the matrix J contains complex conjugate vectors. Conditions on the matrix Q are obtained under which there exists a unique solution of the Schwarz problem in Hölder classes.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266117100081