Solution of the Cauchy Problem for the Heat Equation on the Heisenberg Group and the Wiener Integral

Solution of the Cauchy Problem for the Heat Equation on the Heisenberg Group and the Wiener Integral

The issues related to applications of functional integrals to evolution equations are studied. In particular, this is the problem of representation of solutions to the Cauchy problem for the heat equation in the three-parameter Heisenberg group H 3 (ℝ) in terms of Wiener integral in the space of tra...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Moscow University mathematics bulletin 2019-11, Vol.74 (6), p.221-226
1. Verfasser: Mamon, S. V.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Cauchy problems
Integrals
Mathematics
Mathematics and Statistics
Thermodynamics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The issues related to applications of functional integrals to evolution equations are studied. In particular, this is the problem of representation of solutions to the Cauchy problem for the heat equation in the three-parameter Heisenberg group H 3 (ℝ) in terms of Wiener integral in the space of trajectories from C [0, t ] × C [0, t ].
ISSN:0027-1322
1934-8444
DOI:10.3103/S0027132219060020