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 \( {}^{n}_{+} \) 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.
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Funding
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.
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Bondar, L.N., Demidenko, G.V. On Solvability of One Class of Quasielliptic Systems. Sib Math J 61, 963–982 (2020). https://doi.org/10.1134/S0037446620060026
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DOI: https://doi.org/10.1134/S0037446620060026
Keywords
- quasielliptic operators
- boundary value problem
- integral representation of solutions
- weighted Sobolev space