2019
Том 71
№ 11

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

Markovskii A. I.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 7, pp 1101-1120.

Citation Example: Markovskii A. I. On the $L_p -L_q$- estimates for the solutions of certain hyperbolic equations // Ukr. Mat. Zh. - 1993. - 45, № 7. - pp. 992–1008.

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