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- Title
Semigroup Classification and Gelfand-Shilov Classification of Systems of Partial Differential Equations.
- Authors
Melnikova, I. V.; Alekseeva, U. A.
- 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.
- Subjects
SEMIGROUP algebras; PARTIAL differential equations; FOURIER transforms; OPERATOR equations; ASYMPTOTIC theory of operator equations
- Publication
Mathematical Notes, 2018, Vol 104, Issue 5/6, p886
- ISSN
0001-4346
- Publication type
Academic Journal
- DOI
10.1134/S0001434618110329