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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 5, Pages 1064–1076 (Mi smj1903)  
This article is cited in 14 scientific papers (total in 14 papers)

Quasielliptic operators and Sobolev type equations

G. V. Demidenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (349 kB) Citations (14)
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Abstract: We consider a class of matrix quasielliptic operators on the $n$-dimensional space. For these operators, we establish the isomorphism properties in some special scales of weighted Sobolev spaces. Basing on these properties, we prove the unique solvability of the initial value problem for a class of Sobolev type equations.
Keywords: quasielliptic operator, weighted Sobolev space, isomorphism, Sobolev type equations.
Received: 10.06.2008
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 5, Pages 842–851
DOI: https://doi.org/10.1007/s11202-008-0083-z
Bibliographic databases:
UDC: 517.953+517.983
Language: Russian
Citation: G. V. Demidenko, “Quasielliptic operators and Sobolev type equations”, Sibirsk. Mat. Zh., 49:5 (2008), 1064–1076; Siberian Math. J., 49:5 (2008), 842–851
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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