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• W3100825851 abstract "In this paper we consider the Cauchy problem for multidimensional elliptic equations in a cylindrical domain. The method of spectral expansion in eigenfunctions of the Cauchy problem for equations with deviating argument establishes a criterion of the strong solvability of the considered elliptic Cauchy problem. It is shown that the ill-posedness of the elliptic Cauchy problem is equivalent to the existence of an isolated point of the continuous spectrum for a self-adjoint operator with deviating argument." @default.
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• W3100825851 date "2018-02-12" @default.
• W3100825851 modified "2023-10-16" @default.
• W3100825851 title "A criterion of solvability of the elliptic Cauchy problem in a multi-dimensional cylindrical domain" @default.
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• W3100825851 doi "https://doi.org/10.1080/17476933.2018.1437423" @default.
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