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On the Solvability of the Multidimensional Version of the First Darboux Problem for a Model Second-Order Degenerating Hyperbolic Equation |
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| Authors: | Kharibegashvili S. |
| Affiliation: | (1) Department of Theoretical Mechanics (4), Georgian Technical University, 77, M. Kostava Str., Tbilisi, 380075, Georgia |
| Abstract: | A multidimensional version of the first Darboux problem is considered for a model second-order degenerating hyperbolic equation. Using the technique of functional spaces with a negative norm, the correct formulation of this problem in the Sobolev weighted space is proved. |
| Keywords: | Degenerating hyperbolic equation multidimensional version of the first Darboux problem Sobolev's weighted space functional space with negative norm |
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