Abstract
We establish conditions, which should be imposed on the exponentsp andq and the dimensionalityn of a space in order that theL 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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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 7, pp. 992–1008, July, 1993.
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Markovskii, A.I. On theL p-L q-estimates for the solutions of certain hyperbolic equations. Ukr Math J 45, 1101–1120 (1993). https://doi.org/10.1007/BF01057457
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DOI: https://doi.org/10.1007/BF01057457