caa a22 4500 469034548 CHVBK 20180323132752.0 cr unu---uuuuu 170328e19920701xx s 000 0 eng 10.1007/BF01018697 doi (NATIONALLICENCE)springer-10.1007/BF01018697 Symmetry algebras of linear differential equations [Elektronische Daten] [A. Shapovalov, I. Shirokov] The local symmetries of linear differential equations are investigated by means of proven theorems on the structure of the algebra of local symmetries of translationally and dilatationally invariant differential equations. For a nonparabolic second-order equation, the absence of nontrivial nonlinear local symmetries is proved. This means that the local symmetries reduce to the Lie algebra of linear differential symmetry operators. For the Laplace—Beltrami equation, all local symmetries reduce to the enveloping algebra of the algebra of the conformal group. Plenum Publishing Corporation, 1993 Shapovalov A. aut Shirokov I. aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 92/1(1992-07-01), 697-703 0040-5779 92:1<697 1992 92 11232 https://doi.org/10.1007/BF01018697 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01018697 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Shapovalov A. aut NATIONALLICENCE 700 1- Shirokov I. aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 92/1(1992-07-01), 697-703 0040-5779 92:1<697 1992 92 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer