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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 336, Pages 67–111 (Mi znsl198)  
This article is cited in 1 scientific paper (total in 1 paper)

Rates of convergence of approximate attractors for parabolic equations

V. S. Kolezhuk, S. Yu. Pilyugin

Saint-Petersburg State University
Full-text PDF (358 kB) Citations (1)
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Abstract: We estimate rates of convergence of global attractors of approximations to the global attractor of a semilinear parabolic equation. We consider a general equation for which all fixed points are hyperbolic and the Chafee–Infante equation having a nonhyperbolic fixed point. The results are applied to an implicit discretization of a parabolic equation.
Received: 15.05.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 143, Issue 2, Pages 2883–2910
DOI: https://doi.org/10.1007/s10958-007-0174-6
Bibliographic databases:
UDC: 517.9
Language: English
Citation: V. S. Kolezhuk, S. Yu. Pilyugin, “Rates of convergence of approximate attractors for parabolic equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 37, Zap. Nauchn. Sem. POMI, 336, POMI, St. Petersburg, 2006, 67–111; J. Math. Sci. (N. Y.), 143:2 (2007), 2883–2910
Citation in format AMSBIB
\Bibitem{KolPil06}
\by V.~S.~Kolezhuk, S.~Yu.~Pilyugin
\paper Rates of convergence of approximate attractors for parabolic equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 336
\pages 67--111
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl198}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2270881}
\zmath{https://zbmath.org/?q=an:1117.35011}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 2
\pages 2883--2910
\crossref{https://doi.org/10.1007/s10958-007-0174-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247393576}
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  • https://www.mathnet.ru/eng/znsl/v336/p67
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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