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A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable

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Abstract

We consider a solution u(x, t) of the general linear evolution equation of the second order with respect to time variable given on the ball Π(T) = {(x,t): xε R n, t ε [0, T]} and study the dependence of the behavior of this solution on the behavior of the functions at infinity.

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Authors and Affiliations

  1. Kharkov University, Kharkov

    I. I. Antypko

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  1. I. I. Antypko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 5, pp. 724–731, May, 1998.

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Antypko, I.I. A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable. Ukr Math J 50, 822–830 (1998). https://doi.org/10.1007/BF02514334

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  • DOI: https://doi.org/10.1007/BF02514334

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