On the anharmonic oscillator in the heat conduction problem for nilpotent sub-Riemannian Lie groups with growth vectors \((2, 3, 4)\) and \((2, 3, 5)\)

DOI10.1134/S0001434619030180zbMath1425.58015OpenAlexW2944650381WikidataQ115253730 ScholiaQ115253730MaRDI QIDQ2314114

M. V. Kuznetsov

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619030180

zbMATH Keywords

nilpotent Lie groupspecial functionssub-Laplaciannoncommutative harmonic analysis

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items

Application of nilpotent approximation and the orbit method to the search of the diagonal asymptotics of sub-Riemannian heat kernels

Cites Work

• Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups
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