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• W4250892519 startingPage "1989" @default.
• W4250892519 abstract "The asymptotic series for solutions of the mixed boundary-value problem for the Poisson equation in a domain, which is a junction of singularly degenerating domains, are constructed. In this paper, which is the first part of the publication, the three-dimensional problem (“wheel hub with spokes”) and the analogous two-dimensional problems are considered. The methods of matched and compound asymptotic expansions are used. It is shown that a special self-adjoint extension of the operator of the limit problem in the “hub” supplied by the straight-line segments (“limits of spokes”) can be chosen as an asymptotical model of the problem in question; the extension parameters are to be some integral characteristics of the boundary-layer problems. Bibliography: 39 titles." @default.
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• W4250892519 date "1996-07-01" @default.
• W4250892519 modified "2023-09-27" @default.
• W4250892519 title "Junctions of singularly degenerating domains with different limit dimensions 1" @default.
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• W4250892519 doi "https://doi.org/10.1007/bf02362511" @default.
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