Absence of Nontrivial Symmetries to the Heat Equation in Goursat Groups of Dimension at Least 4
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Published:2019-01
Issue:1
Volume:60
Page:108-113
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ISSN:0037-4466
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Container-title:Siberian Mathematical Journal
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language:en
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Short-container-title:Sib Math J
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference6 articles.
1. Minakshisundaram S. and Pleijel Å., “Some properties of eigenfunctions of the Laplace operator on Riemannian manifolds,” Canad. J. Math., vol. 1, 242–256 (1949).
2. Ben Arous G., “Développement asymptotique du noyau de la chaleur hypoelliptique hors du cut–locus,” Ann. Sci. École Norm. Sup. (4), vol. 21, No. 3, 307–331 (1988).
3. Ben Arous G., “Développement asymptotique du noyau de la chaleur hypoelliptique sur la diagonale,” Ann. Inst. Fourier (Grenoble), vol. 39, No. 1, 73–99 (1989).
4. Craddock M. and Lennox K., “Lie group symmetries as integral transforms of fundamental solutions,” J. Differ. Equ., vol. 232, 652–674 (2007).
5. Ovsyannikov L. V., Group Analysis of Differential Equations, Academic Press, New York (1982).