Abstract
The questions are studied of existence and uniqueness of a global solution to the Cauchy-Darboux problem for the one-dimensional wave equation with power nonlinearity. Under consideration are the existence of local solutions and the absence of global solutions.
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Original Russian Text Copyright © 2013 Kharibegashvili S.S. and Dzhokhadze O.M.
The authors were supported by the Shota Rustaveli National Scientific Foundation (Grant 31/32).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 6, pp. 1407–1426, November–December, 2013.
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Kharibegashvili, S.S., Dzhokhadze, O.M. The Cauchy-Darboux problem for the one-dimensional wave equation with power nonlinearity. Sib Math J 54, 1120–1136 (2013). https://doi.org/10.1134/S0037446613060190
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DOI: https://doi.org/10.1134/S0037446613060190