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Some multidimensional versions of a characteristic problem for second-order degenerating hyperbolic equations are considered. Using the technique of functional spaces with a negative norm, the correctness of these problems in the Sobolev weighted spaces are proved.
Georgian Mathematical Journal – de Gruyter
Published: Apr 1, 1998
Keywords: Degenerating hyperbolic equations; multidimensional versions of a characteristic problem; Sobolev weighted space; functional space with negative norm
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