The positivity of the differential operator generated by hyperbolic system of equations

In the present paper, the initial value problem for the hyperbolic system of equations with nonlocal boundary conditions is investigated. The positivity of the space operator generated by the given problem in interpolation spaces is established. The structure of interpolation spaces of this differen...

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Bibliographic Details
Main Author: Rahat Prenov
Format: Article
Language:English
Published: EJAAM 2023-12-01
Series:E-Journal of Analysis and Applied Mathematics
Subjects:
Online Access:https://ejaam.org/articles/2023/10.62780-ejaam-2023-005.pdf
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Summary:In the present paper, the initial value problem for the hyperbolic system of equations with nonlocal boundary conditions is investigated. The positivity of the space operator generated by the given problem in interpolation spaces is established. The structure of interpolation spaces of this differential operator is studied. The positivity of this space operator in Slobodeckij-Sobolev spaces is established.
ISSN:2544-9990