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Solvability conditions of the Cauchy problem for pseudohyperbolic equations

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Abstract

We consider a class of strictly pseudohyperbolic equations with lower order terms. Energy estimates are obtained and solvability conditions of the Cauchy problem in Sobolev spaces with an exponential weight are established.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    G. V. Demidenko

  2. Novosibirsk State University, Novosibirsk, Russia

    G. V. Demidenko

Authors
  1. G. V. Demidenko
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Correspondence to G. V. Demidenko.

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Original Russian Text Copyright © 2015 Demidenko G.V.

Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 6, pp. 1289–1303, November–December, 2015; DOI: 10.17377/smzh.2015.56.607.

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Demidenko, G.V. Solvability conditions of the Cauchy problem for pseudohyperbolic equations. Sib Math J 56, 1028–1041 (2015). https://doi.org/10.1134/S0037446615060075

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  • DOI: https://doi.org/10.1134/S0037446615060075

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