Semigroup Classification and Gelfand–Shilov Classification of Systems of Partial Differential Equations

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 se...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical Notes 2018-11, Vol.104 (5-6), p.886-899
Main Authors: Melnikova, I. V., Alekseeva, U. A.
Format: Article
Language:English
Subjects:
Classification
Fourier transforms
Mathematical analysis
Mathematics
Mathematics and Statistics
Partial differential equations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434618110329