Absence of nontrivial symmetries to the heat equation in Goursat groups of dimension at least 4

DOI10.1134/S0037446619010129zbMath1418.35209OpenAlexW2937776177MaRDI QIDQ2002487

M. V. Kuznetsov

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0037446619010129

zbMATH Keywords

nilpotent Lie groupsub-Laplacianextension method

Mathematics Subject Classification ID

Heat equation (35K05)

Cites Work

• Unnamed Item
• Lie group symmetries as integral transforms of fundamental solutions
• Asymptotic expansion of the hypoelliptic heat kernel on the diagonal
• Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups
• Développement asymptotique du noyau de la chaleur hypoelliptique hors du cut-locus
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

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