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Necessary Conditions for the Solvability of One Class of Boundary Value Problems for Quasielliptic Systems. / Bondar’, L. N.
в: Siberian Advances in Mathematics, Том 29, № 1, 01.01.2019, стр. 22-31.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Necessary Conditions for the Solvability of One Class of Boundary Value Problems for Quasielliptic Systems
AU - Bondar’, L. N.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
KW - boundary value problem
KW - Lopatinskiĭ condition
KW - quasielliptic system
KW - Sobolev space
KW - solvability condition
UR - http://www.scopus.com/inward/record.url?scp=85064736206&partnerID=8YFLogxK
U2 - 10.3103/S1055134419010024
DO - 10.3103/S1055134419010024
M3 - Article
AN - SCOPUS:85064736206
VL - 29
SP - 22
EP - 31
JO - Siberian Advances in Mathematics
JF - Siberian Advances in Mathematics
SN - 1055-1344
IS - 1
ER -
ID: 19649760