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. 
@article{SJIM_2019_22_3_a1,
     author = {L. N. Bondar'},
     title = {On necessary conditions for the solvability of one class of elliptic systems in a half-space},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {8--23},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2019_22_3_a1/}
}
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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/