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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 5, Pages 1060–1069 (Mi smj2030)  
This article is cited in 5 scientific papers (total in 5 papers)

Quasielliptic operators and Sobolev type equations. II

G. V. Demidenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (325 kB) Citations (5)
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Abstract: We consider matrix quasielliptic operators on the whole space. Under the quasihomogeneity condition for symbols, we establish the isomorphism theorem for these operators in the special scales of Sobolev spaces. In particular, this result implies a series of available isomorphism theorems for elliptic operators and theorems about the unique solvability of the initial value problem for a broad class of systems of Sobolev type.
Keywords: quasielliptic operator, weighted Sobolev space, isomorphism, Sobolev type equation.
Received: 03.06.2009
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 5, Pages 838–845
DOI: https://doi.org/10.1007/s11202-009-0094-4
Bibliographic databases:
UDC: 517.953+517.983
Language: Russian
Citation: G. V. Demidenko, “Quasielliptic operators and Sobolev type equations. II”, Sibirsk. Mat. Zh., 50:5 (2009), 1060–1069; Siberian Math. J., 50:5 (2009), 838–845
Citation in format AMSBIB
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    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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