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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 2, Pages 256–273
(Mi smj1838)
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This article is cited in 7 scientific papers (total in 7 papers)
Boundary value problems for quasielliptic systems
L. N. Bondar'a, G. V. Demidenkob a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We consider the boundary value problems in the half-space for a class of quasielliptic systems with variable coefficients. Assuming that the boundary value problems satisfy the Lopatinskii condition, we establish sufficient conditions for unique solvability in Sobolev spaces.
Keywords:
quasielliptic system, boundary value problem, Lopatinskii condition, Sobolev spaces, solvability conditions.
Received: 12.02.2008
Citation:
L. N. Bondar', G. V. Demidenko, “Boundary value problems for quasielliptic systems”, Sibirsk. Mat. Zh., 49:2 (2008), 256–273; Siberian Math. J., 49:2 (2008), 202–217
Linking options:
https://www.mathnet.ru/eng/smj1838 https://www.mathnet.ru/eng/smj/v49/i2/p256
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