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Matematicheskie Zametki, 1972, Volume 12, Issue 3, Pages 257–262 (Mi mzm9876)  
This article is cited in 1 scientific paper (total in 1 paper)

Behavior of the solution of a parabolic equation on a characteristic

E. M. Landis

M. V. Lomonosov Moscow State University
Full-text PDF (717 kB) Citations (1)
Abstract: We consider the solution of a linear second-order parabolic equation with one spatial variable and a zero right side. We prove that since the solution decreases quite rapidly in the spatial variable as it approaches a particular point, it vanishes on the part of the characteristic joining the point to the boundary of the region in which the solution is defined.
Received: 12.04.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 3, Pages 588–590
DOI: https://doi.org/10.1007/BF01093990
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. M. Landis, “Behavior of the solution of a parabolic equation on a characteristic”, Mat. Zametki, 12:3 (1972), 257–262; Math. Notes, 12:3 (1972), 588–590
Citation in format AMSBIB
\Bibitem{Lan72}
\by E.~M.~Landis
\paper Behavior of the solution of a parabolic equation on a characteristic
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 3
\pages 257--262
\mathnet{http://mi.mathnet.ru/mzm9876}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=481523}
\zmath{https://zbmath.org/?q=an:0248.35063}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 3
\pages 588--590
\crossref{https://doi.org/10.1007/BF01093990}
Linking options:
  • https://www.mathnet.ru/eng/mzm9876
  • https://www.mathnet.ru/eng/mzm/v12/i3/p257
    • This publication is cited in the following 1 articles:
    1. Yu. S. Èmanuilov, “Controllability of parabolic equations”, Sb. Math., 186:6 (1995), 879–900  mathnet  crossref  mathscinet  zmath  isi
    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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