The Solvability of the Cauchy Problem for a Class of Sobolev-Type Equations in Tempered Distributions

We give sufficient conditions for the existence of a solution to the Cauchy problem for the equation in the space of tempered distributions.

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Bibliographic Details
Published in:Siberian mathematical journal 2022-09, Vol.63 (5), p.940-955
Main Author: Pavlov, A. L.
Format: Article
Language:English
Subjects:
Cauchy problems
Mathematics
Mathematics and Statistics
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Online Access:Get full text
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Description
Summary:We give sufficient conditions for the existence of a solution to the Cauchy problem for the equation in the space of tempered distributions.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446622050135