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On the solvability of the characteristic Cauchy problem for some nonlinear wave equations in the future light cone

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Abstract

We consider some multidimensional versions of the sine-Gordon equation and the Liouville equation. For these equations, the existence or absence of a global solution of the characteristic Cauchy problem in the future light cone is studied.

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Authors and Affiliations

  1. Mathematical Institute, Tbilisi, Georgia

    S. S. Kharibegashvili

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  1. S. S. Kharibegashvili
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Original Russian Text © S.S. Kharibegashvili, 2008, published in Differentsial’nye Uravneniya, 2008, Vol. 44, No. 1, pp. 129–139.

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Kharibegashvili, S.S. On the solvability of the characteristic Cauchy problem for some nonlinear wave equations in the future light cone. Diff Equat 44, 135–146 (2008). https://doi.org/10.1134/S0012266108010126

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  • DOI: https://doi.org/10.1134/S0012266108010126

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