Geodesic
On the solvability of the Dirichlet problem for a multidimensional elliptic system in the half-space
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 183 (2020), pp. 52-60

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The Dirichlet problem for a multidimensional elliptic system in the half-space is considered. With the help of the Fourier transform, the problem of the solvability of the problem is reduced to the study of a second-order partial differential equation.
Keywords: multidimensional elliptic system, half-space, Dirichlet problem, Bessel function.
Mots-clés : Fourier transform 
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     author = {E. A. Golovko},
     title = {On the solvability of the {Dirichlet} problem for a multidimensional elliptic system in the half-space},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {52--60},
     publisher = {mathdoc},
     volume = {183},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_183_a4/}
}
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E. A. Golovko. On the solvability of the Dirichlet problem for a multidimensional elliptic system in the half-space. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 183 (2020), pp. 52-60. http://geodesic.mathdoc.fr/item/INTO_2020_183_a4/