Geodesic
On necessary conditions for the solvability of one class of elliptic systems in a half-space
Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 3, pp. 8-23.

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We consider boundary value problems in a half-space for a class of elliptic systems. Assuming that the boundary value problems satisfy the Lopatinskiĭ condition, we give necessary conditions for the unique solvability in Sobolev spaces.
Keywords: elliptic system, boundary value problem, Lopatinskiĭ condition, Sobolev space, solvability condition. 
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L. N. Bondar'. On necessary conditions for the solvability of one class of elliptic systems in a half-space. Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 3, pp. 8-23. http://geodesic.mathdoc.fr/item/SJIM_2019_22_3_a1/

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