Solution of the Cauchy Problem for the Heat Equation on the Heisenberg Group and the Wiener Integral
- Autores: Mamon S.1
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Afiliações:
- Faculty of Mechanics and Mathematics
- Edição: Volume 74, Nº 6 (2019)
- Páginas: 221-226
- Seção: Article
- URL: https://journals.rcsi.science/0027-1322/article/view/164888
- DOI: https://doi.org/10.3103/S0027132219060020
- ID: 164888
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Resumo
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].
Sobre autores
S. Mamon
Faculty of Mechanics and Mathematics
Autor responsável pela correspondência
Email: sergey.mamon.msu@yandex.ru
Rússia, Leninskie Gory, Moscow, 119991