Geodesic
Necessary conditions for the solvability of one class of boundary value problems for quasielliptic systems
Matematičeskie trudy, Tome 21 (2018) no. 1, pp. 3-16

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We consider boundary value problems in a half-space for a class of quasielliptic systems with nonzero boundary functions.We assume that the boundary value problems satisfy the Lopatinskiĭ condition. Necessary conditions are given for their unique solvability in Sobolev spaces. In a particular case, these conditions coincide with sufficient conditions. 
@article{MT_2018_21_1_a0,
     author = {L. N. Bondar'},
     title = {Necessary conditions for the solvability of one class of boundary value problems for quasielliptic systems},
     journal = {Matemati\v{c}eskie trudy},
     pages = {3--16},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2018_21_1_a0/}
}
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L. N. Bondar'. Necessary conditions for the solvability of one class of boundary value problems for quasielliptic systems. Matematičeskie trudy, Tome 21 (2018) no. 1, pp. 3-16. http://geodesic.mathdoc.fr/item/MT_2018_21_1_a0/