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Cauchy problem for a generalized nonlinear liouville equation

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Abstract

We consider the Cauchy problem for a generalized Liouville equation. We study the existence, uniqueness, and absence of a global solution of this problem. We also discuss the local solvability of the problem.

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Authors and Affiliations

  1. Georgia Technical University, Tbilisi, Georgia

    S. S. Kharibegashvili & O. M. Dzhokhadze

  2. Tbilisi State University, Tbilisi, Georgia

    S. S. Kharibegashvili & O. M. Dzhokhadze

Authors
  1. S. S. Kharibegashvili
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  2. O. M. Dzhokhadze
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Additional information

Original Russian Text © S.S. Kharibegashvili, O.M. Dzhokhadze, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 12, pp. 1741–1753.

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Kharibegashvili, S.S., Dzhokhadze, O.M. Cauchy problem for a generalized nonlinear liouville equation. Diff Equat 47, 1763–1775 (2011). https://doi.org/10.1134/S0012266111120068

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  • DOI: https://doi.org/10.1134/S0012266111120068

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