A multidimensional version of the Darboux problem for a model degenerating second-order hyperbolic equation (Q2387927)
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| English | A multidimensional version of the Darboux problem for a model degenerating second-order hyperbolic equation |
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A multidimensional version of the Darboux problem for a model degenerating second-order hyperbolic equation (English)
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5 September 2005
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One concentrates on a multidimensional version of the Darboux problem for the equation \(Lu=F\), where \(L\) is a degenerating second order hyperbolic operator. The existence and uniqueness of a strong generalized solution in some weighted Hilbert space is proved.
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existence
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uniqueness
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weighted Hilbert space
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