Isometry of the Subspaces of Solutions of Systems of Differential Equations to the Spaces of Real Functions

Isometry of the Subspaces of Solutions of Systems of Differential Equations to the Spaces of Real Functions

We determine the subspaces of solutions of the systems of Laplace and heat-conduction differential equations isometric to the corresponding spaces of real functions defined on the set of real numbers.

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Veröffentlicht in:Ukrainian mathematical journal 2020, Vol.71 (8), p.1153-1172
Hauptverfasser: Abdullayev, F. G., Bushev, D. M., kyzy, M. Imash, Kharkevych, Yu. I.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Conduction heating
Differential equations
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Real numbers
Statistics
Subspaces
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Beschreibung
Zusammenfassung:We determine the subspaces of solutions of the systems of Laplace and heat-conduction differential equations isometric to the corresponding spaces of real functions defined on the set of real numbers.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-019-01705-9