Email this article Solution of the Cauchy Problem for the Heat Equation on the Heisenberg Group and the Wiener Integral
- Authors: Mamon S.V.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 74, No 6 (2019)
- Pages: 221-226
- Section: Article
- URL: https://journal-vniispk.ru/0027-1322/article/view/164888
- DOI: https://doi.org/10.3103/S0027132219060020
- ID: 164888
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Abstract
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 H3(ℝ) in terms of Wiener integral in the space of trajectories from C[0, t] × C[0, t].
About the authors
S. V. Mamon
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: sergey.mamon.msu@yandex.ru
Russian Federation, Leninskie Gory, Moscow, 119991
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