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