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The Cauchy-Goursat problem for wave equations with nonlinear dissipative term

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Abstract

The Cauchy-Goursat problem for wave equations with nonlinear dissipative term is studied. The existence, uniqueness, and blow-up of global solutions of this problem are considered. The local solvability of this problem is also discussed.

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Authors and Affiliations

  1. Tbilisi State University, Tbilisi, Georgia

    S. S. Kharibegashvili & O. M. Jokhadze

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  1. S. S. Kharibegashvili
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  2. O. M. Jokhadze
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Correspondence to S. S. Kharibegashvili.

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Original Russian Text © S. S. Kharibegashvili, O. M. Jokhadze, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 6, pp. 889–907.

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Kharibegashvili, S.S., Jokhadze, O.M. The Cauchy-Goursat problem for wave equations with nonlinear dissipative term. Math Notes 94, 913–929 (2013). https://doi.org/10.1134/S000143461311028X

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