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Matematicheskie Zametki, 1972, Volume 11, Issue 4, Pages 409–419 (Mi mzm9805)  
This article is cited in 2 scientific papers (total in 2 papers)

On coercive solvability of parabolic equations

V. P. Anosov, P. E. Sobolevskii

Voronezh State University
Full-text PDF (1056 kB) Citations (2)
Abstract: In this paper we study the coercive solvability of abstract differential equations of parabolic type in the spaces of L. N. Slobodetskii $W_p^\alpha$. It is established that the solution of equations with a constant operator $A$ which generates an analytic semigroup belongs to the trace space $E(\alpha,p,A)$. The results obtained are applied to the study of equations with a variable operator.
Received: 18.01.1971
English version:
Mathematical Notes, 1972, Volume 11, Issue 4, Pages 251–256
DOI: https://doi.org/10.1007/BF01367499
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. P. Anosov, P. E. Sobolevskii, “On coercive solvability of parabolic equations”, Mat. Zametki, 11:4 (1972), 409–419; Math. Notes, 11:4 (1972), 251–256
Citation in format AMSBIB
\Bibitem{AnoSob72}
\by V.~P.~Anosov, P.~E.~Sobolevskii
\paper On coercive solvability of parabolic equations
\jour Mat. Zametki
\yr 1972
\vol 11
\issue 4
\pages 409--419
\mathnet{http://mi.mathnet.ru/mzm9805}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=301400}
\zmath{https://zbmath.org/?q=an:0244.35054|0242.35043}
\transl
\jour Math. Notes
\yr 1972
\vol 11
\issue 4
\pages 251--256
\crossref{https://doi.org/10.1007/BF01367499}
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  • https://www.mathnet.ru/eng/mzm/v11/i4/p409
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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