Abstract
Two approaches to systems of linear partial differential equations are considered: the traditional approach based on the generalized Fourier transform and the semigroup approach, under which the system is considered as a particular case of an operator-differential equation. For these systems, the semigroup classification and the Gelfand–Shilov classification are compared.
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Original Russian Text © I. V. Melnikova, U. A. Alekseeva, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 6, pp. 895–911.
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Melnikova, I.V., Alekseeva, U.A. Semigroup Classification and Gelfand–Shilov Classification of Systems of Partial Differential Equations. Math Notes 104, 886–899 (2018). https://doi.org/10.1134/S0001434618110329
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DOI: https://doi.org/10.1134/S0001434618110329