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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 6, Pages 1212–1233
DOI: https://doi.org/10.33048/smzh.2020.61.602 (Mi smj6048) 		 
On solvability of one class of quasielliptic systems

L. N. Bondar', G. V. Demidenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/smzh.2020.61.602
Abstract: We study the class of systems of differential equations defined by one class of matrix quasielliptic operators and establish solvability conditions for the systems and boundary value problems on ${\Bbb R}^n_+$ in the special scales of weighted Sobolev spaces $W^{l}_{p,\sigma}$. We construct the integral representations of solutions and obtain estimates for the solutions.
Keywords: quasielliptic operators, boundary value problem, integral representation of solutions, weighted Sobolev space.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
The work is supported by the Mathematical Center in Akademgorodok, Agreement 075–15–2019–1613 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 02.09.2020
Revised: 02.09.2020
Accepted: 09.10.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 6, Pages 963–982
DOI: https://doi.org/10.1134/S0037446620060026
Bibliographic databases:
Document Type: Article
UDC: 517.983+519.635.4
Language: Russian
Citation: L. N. Bondar', G. V. Demidenko, “On solvability of one class of quasielliptic systems”, Sibirsk. Mat. Zh., 61:6 (2020), 1212–1233; Siberian Math. J., 61:6 (2020), 963–982
Citation in format AMSBIB
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