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Symmetries of linear partial differential equations and fundamental solutions. (English. Russian original) Zbl 0881.35003
Dokl. Math. 51, No. 3, 329-331 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 342, No. 2, 151-153 (1995).
Fundamental solutions of linear equations in mathematical physics are often invariant with respect to transformations admitted by the input equation. In this paper, an algorithm for finding fundamental solutions of linear partial differential equations based on the use of an admissible point transformation group is formulated.

MSC:
35A08 Fundamental solutions to PDEs
58J70 Invariance and symmetry properties for PDEs on manifolds
35G05 Linear higher-order PDEs
35A30 Geometric theory, characteristics, transformations in context of PDEs
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