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Sbornik: Mathematics, 2001, Volume 192, Issue 10, Pages 1471–1490
DOI: https://doi.org/10.1070/SM2001v192n10ABEH000602
(Mi sm602)
 

This article is cited in 6 scientific papers (total in 6 papers)

Non-existence of solutions of semilinear parabolic differential inequalities in cones

G. G. Laptev

Tula State University
References:
Abstract: Problems of the non-existence of global non-trivial solutions of semilinear parabolic differential inequalities and second-order systems in cones are investigated. The proofs are based on the method of test functions and do not use comparison theorems or the maximum principle.
Received: 19.02.2001
Bibliographic databases:
UDC: 517.9
MSC: Primary 35K15, 35K45, 35B60; Secondary 35K55
Language: English
Original paper language: Russian
Citation: G. G. Laptev, “Non-existence of solutions of semilinear parabolic differential inequalities in cones”, Sb. Math., 192:10 (2001), 1471–1490
Citation in format AMSBIB
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\by G.~G.~Laptev
\paper Non-existence of solutions of semilinear parabolic differential inequalities in cones
\jour Sb. Math.
\yr 2001
\vol 192
\issue 10
\pages 1471--1490
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Linking options:
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  • https://doi.org/10.1070/SM2001v192n10ABEH000602
  • https://www.mathnet.ru/eng/sm/v192/i10/p51
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:513
    Russian version PDF:215
    English version PDF:22
    References:71
    First page:1
     
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