Semigroup Classification and Gelfand-Shilov Classification of Systems of Partial Differential Equations.

Melnikova, I. V.; Alekseeva, U. A.

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.

SEMIGROUP algebras; PARTIAL differential equations; FOURIER transforms; OPERATOR equations; ASYMPTOTIC theory of operator equations

Mathematical Notes, 2018, Vol 104, Issue 5/6, p886

0001-4346

Academic Journal

10.1134/S0001434618110329