On the $L_p -L_q$- estimates for the solutions of certain hyperbolic equations

We establish conditions, which should be imposed on the exponentsp andq and the dimensionalityn of a space in order that the $L_p -L_q$-estimates should hold for the solutions of the Cauchy problem for a second-order hyperbolic equation with constant coefficients.

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Bibliographic Details
Date:1993
Main Authors: Markovskii, A. I., Марковский, А. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1993
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5893
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal