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Matematicheskie Zametki, 1969, Volume 6, Issue 3, Pages 289–294 (Mi mzm6934)  

This article is cited in 1 scientific paper (total in 2 paper)

Linear degenerate parabolic equations of arbitrary order with a finite region of dependence

A. S. Kalashnikov

M. V. Lomonosov Moscow State University
Full-text PDF (347 kB) Citations (2)
Abstract: The Cauchy problem is considered for equations of the form $u_l-Lu=0$, where $Lu=L(i,x_1,\dots,x_n,\partial/\partial x_1,\dots,\partial x_n)u$ is an elliptic differential expression of arbitrary order which is degenerate for certain values of the arguments in the first order differential expression. Conditions are stated on the nature of the degeneracy which are sufficient for a solution of this problem to have a finite region of dependence.
Received: 28.02.1969
English version:
Mathematical Notes, 1969, Volume 6, Issue 3, Pages 630–633
DOI: https://doi.org/10.1007/BF01119681
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. S. Kalashnikov, “Linear degenerate parabolic equations of arbitrary order with a finite region of dependence”, Mat. Zametki, 6:3 (1969), 289–294; Math. Notes, 6:3 (1969), 630–633
Citation in format AMSBIB
\Bibitem{Kal69}
\by A.~S.~Kalashnikov
\paper Linear degenerate parabolic equations of arbitrary order with a~finite region of dependence
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 3
\pages 289--294
\mathnet{http://mi.mathnet.ru/mzm6934}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=259369}
\zmath{https://zbmath.org/?q=an:0191.39604|0177.36604}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 3
\pages 630--633
\crossref{https://doi.org/10.1007/BF01119681}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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