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Sbornik: Mathematics, 2001, Volume 192, Issue 5, Pages 651–691
DOI: https://doi.org/10.1070/SM2001v192n05ABEH000563 (Mi sm563) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Global influence domains of stable solutions with internal layers

V. F. Butuzov, I. V. Nedelko

M. V. Lomonosov Moscow State University
English version PDF (363 kB) Citations (11)
References:
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DOI: https://doi.org/10.1070/SM2001v192n05ABEH000563
Abstract: The initial-boundary-value problem is considered for a non-stationary equation of reaction-diffusion type with non-linearity having two stable zeros. The conditions imposed ensure the existence of a stable stationary solution with internal transition layer (a stable step-like contrast structure). The question of which initial functions belong to the influence domain of such a solution is studied.
Received: 19.01.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 5, Pages 13–52
DOI: https://doi.org/10.4213/sm563
Bibliographic databases:
UDC: 517.956.226
MSC: 35B40, 35K57
Language: English
Original paper language: Russian
Citation: V. F. Butuzov, I. V. Nedelko, “Global influence domains of stable solutions with internal layers”, Mat. Sb., 192:5 (2001), 13–52; Sb. Math., 192:5 (2001), 651–691
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:39
    References:65
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