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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 3, Pages 27–42 (Mi smj1650)  
This article is cited in 1 scientific paper (total in 1 paper)

A criterion for exponential stability of the zero solution to a weakly-coupled cooperation-diffusion parabolic system

M. P. Vishnevskii
Full-text PDF (1604 kB) Citations (1)
Abstract: The linearization principle is established for bounded (for all $t\in\mathbf{R}$) solutions to parabolic systems. A stability criterion for the linearized problem is obtained. The results are applied to study of exponentially stable solutions to the Neumann problem in a convex domain. Under some additional assumptions it is shown that such a solution is independent of the space variables.
Received: 21.11.1991
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 3, Pages 419–432
DOI: https://doi.org/10.1007/BF00971217
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: M. P. Vishnevskii, “A criterion for exponential stability of the zero solution to a weakly-coupled cooperation-diffusion parabolic system”, Sibirsk. Mat. Zh., 34:3 (1993), 27–42; Siberian Math. J., 34:3 (1993), 419–432
Citation in format AMSBIB
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\by M.~P.~Vishnevskii
\paper A criterion for exponential stability of the zero solution to a weakly-coupled cooperation-diffusion parabolic system
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 3
\pages 27--42
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1241166}
\zmath{https://zbmath.org/?q=an:0808.35063}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 3
\pages 419--432
\crossref{https://doi.org/10.1007/BF00971217}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LR86400003}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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