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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 6, Pages 52–67
(Mi smj809)
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This article is cited in 8 scientific papers (total in 8 papers)
Integral operators determined by quasielliptic equations. I
G. V. Demidenko
Abstract:
A family of integral operators is considered which appears in the construction of approximate solutions to quasielliptic equations on $R_n$. Properties of the operators are studied in the weighted Sobolev spaces $W_{p,\sigma}^r(R_n)$. The results obtained are applied to investigating solvability conditions for quasielliptic equations over $W_{p,\sigma}^r(R_n)$. A class of equations is indicated for which unconditional solvability holds.
Received: 02.06.1992
Citation:
G. V. Demidenko, “Integral operators determined by quasielliptic equations. I”, Sibirsk. Mat. Zh., 34:6 (1993), 52–67; Siberian Math. J., 34:6 (1993), 1044–1058
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https://www.mathnet.ru/eng/smj809 https://www.mathnet.ru/eng/smj/v34/i6/p52
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Abstract page: | 435 | Full-text PDF : | 177 |
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