Siberian Journal of Pure and Applied Mathematics
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Siberian Journal of Pure and Applied Mathematics, 2016, Volume 16, Issue 3, Pages 15–26
DOI: https://doi.org/10.17377/PAM.2016.16.302 (Mi vngu407) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Quasielliptic operators and equations not solvable with respect to the highest order derivative

G. V. Demidenkoab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (213 kB) Citations (5)
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DOI: https://doi.org/10.17377/PAM.2016.16.302
Abstract: We consider a class of quasielliptic operators in the whole space. Isomorphism properties in special weighted Sobolev spaces are established. We obtain conditions for unique solvability of the quasielliptic equations and estimates for their solutions in more general weighted spaces. Using the established results, we study solvability of the initial value problem for equations not solvable with respect to the highest order derivative.
Keywords: quasielliptic operators, weighted Sobolev spaces, isomorphism, Sobolev type equations.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0314-2015-0011
Received: 07.05.2016
English version:
Journal of Mathematical Sciences, 2018, Volume 230, Issue 1, Pages 25–35
DOI: https://doi.org/10.1007/s10958-018-3723-2
Document Type: Article
UDC: 517.953 + 517.983
Language: Russian
Citation: G. V. Demidenko, “Quasielliptic operators and equations not solvable with respect to the highest order derivative”, Sib. J. Pure and Appl. Math., 16:3 (2016), 15–26; J. Math. Sci., 230:1 (2018), 25–35
Citation in format AMSBIB
\Bibitem{Dem16}
\by G.~V.~Demidenko
\paper Quasielliptic operators and equations not solvable with respect to the highest order derivative
\jour Sib. J. Pure and Appl. Math.
\yr 2016
\vol 16
\issue 3
\pages 15--26
\mathnet{http://mi.mathnet.ru/vngu407}
\crossref{https://doi.org/10.17377/PAM.2016.16.302}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 230
\issue 1
\pages 25--35
\crossref{https://doi.org/10.1007/s10958-018-3723-2}
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    • This publication is cited in the following 5 articles:
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