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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 2, Pages 135–145 (Mi smj1680)  
This article is cited in 7 scientific papers (total in 7 papers)

On relative compactness of a set of abstract functions in a scale of Banach spaces

A. G. Podgaev
Full-text PDF (1078 kB) Citations (7)
Abstract: Theorems on compactness of sets in a scale of Banach spaces are established. The results can be used for proving solvability for abstract nonstationary nonlinear equations with operators having variable domains of definition as well as for nonlinear equations of mathematical physics in noncylindrical domains. Integrals for functions in a scale of spaces with respect to the scale parameter are introduced and their properties are given.
Received: 28.08.1991
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 2, Pages 320–329
DOI: https://doi.org/10.1007/BF00970957
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: A. G. Podgaev, “On relative compactness of a set of abstract functions in a scale of Banach spaces”, Sibirsk. Mat. Zh., 34:2 (1993), 135–145; Siberian Math. J., 34:2 (1993), 320–329
Citation in format AMSBIB
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\paper On relative compactness of a~set of abstract functions in a~scale of Banach spaces
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\vol 34
\issue 2
\pages 135--145
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\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 2
\pages 320--329
\crossref{https://doi.org/10.1007/BF00970957}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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