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Solution of the Cauchy problem for the heat equation on the Heisenberg group and the Wiener integral

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Publication:785913
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DOI10.3103/S0027132219060020zbMath1445.35189MaRDI QIDQ785913

Sergeĭ Vladimirovich Mamon

Publication date: 12 August 2020

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)


zbMATH Keywords

Wiener integral


Mathematics Subject Classification ID

Heat equation (35K05) Initial value problems for second-order parabolic equations (35K15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)





Cites Work

  • Analysis of Wiener functionals (Malliavin calculus) and its applications to heat kernels
  • Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
  • The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group




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