Differential Operators Specifying the Solution of an Elliptic Iterated Equation

Differential Operators Specifying the Solution of an Elliptic Iterated Equation

We construct differential operators that transform arbitrary holomorphic functions into regular solutions of elliptic equations of the second and higher orders. The Riquier problem is solved for the elliptic equation of the fourth order.

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Veröffentlicht in:Ukrainian mathematical journal 2019-08, Vol.71 (3), p.495-504
Hauptverfasser: Alexandrovich, I. M., Sydorov, M. V.-S.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Analytic functions
Applications of Mathematics
Brief Communications
Differential equations
Elliptic functions
Geometry
Mathematics
Mathematics and Statistics
Operators (mathematics)
Statistics
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Beschreibung
Zusammenfassung:We construct differential operators that transform arbitrary holomorphic functions into regular solutions of elliptic equations of the second and higher orders. The Riquier problem is solved for the elliptic equation of the fourth order.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-019-01659-y