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On the solvability of one multidimensional version of the first Darboux problem for some nonlinear wave equations
Authors:S Kharibegashvili
Institution:A. Razmadze Mathematical Institute of the Georgian Academy of Sciences, 1 M. Aleksidze St., Tbilisi 0193, Georgia
Abstract:In the present paper, for wave equations with power nonlinearity we investigate the problem of the existence or nonexistence of global solutions of a multidimensional version of the first Darboux problem in the conic domain.
Keywords:35L05  35L20  35L70
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