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Rates of convergence of approximate attractors for parabolic equations. / Kolezhuk, V. S.; Pilyugin, S. Yu.

In: Journal of Mathematical Sciences , Vol. 143, No. 2, 05.2007, p. 2883-2910.

Research output: Contribution to journal › Article › peer-review

Harvard

Kolezhuk, VS & Pilyugin, SY 2007, 'Rates of convergence of approximate attractors for parabolic equations', Journal of Mathematical Sciences , vol. 143, no. 2, pp. 2883-2910. https://doi.org/10.1007/s10958-007-0174-6

APA

Kolezhuk, V. S., & Pilyugin, S. Y. (2007). Rates of convergence of approximate attractors for parabolic equations. Journal of Mathematical Sciences , 143(2), 2883-2910. https://doi.org/10.1007/s10958-007-0174-6

Vancouver

Kolezhuk VS, Pilyugin SY. Rates of convergence of approximate attractors for parabolic equations. Journal of Mathematical Sciences . 2007 May;143(2):2883-2910. https://doi.org/10.1007/s10958-007-0174-6

Author

Kolezhuk, V. S. ; Pilyugin, S. Yu. / Rates of convergence of approximate attractors for parabolic equations. In: Journal of Mathematical Sciences . 2007 ; Vol. 143, No. 2. pp. 2883-2910.

BibTeX

@article{b68ee163b84d47d09a9cdacb4c42a045,
title = "Rates of convergence of approximate attractors for parabolic equations",
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. Bibliography: 22 titles.",
author = "Kolezhuk, {V. S.} and Pilyugin, {S. Yu}",
note = "Funding Information: This research was supported by the Russian Foundation for Basic Research (project 05-01-01079), by the Program “Leading Scientific Schools” (project 2271.2003.1), and by the Program “Development of the Scientific Potential of the Higher School” (project 37857).",
year = "2007",
month = may,
doi = "10.1007/s10958-007-0174-6",
language = "English",
volume = "143",
pages = "2883--2910",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Rates of convergence of approximate attractors for parabolic equations

AU - Kolezhuk, V. S.

AU - Pilyugin, S. Yu

N1 - Funding Information: This research was supported by the Russian Foundation for Basic Research (project 05-01-01079), by the Program “Leading Scientific Schools” (project 2271.2003.1), and by the Program “Development of the Scientific Potential of the Higher School” (project 37857).

PY - 2007/5

Y1 - 2007/5

N2 - 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. Bibliography: 22 titles.

AB - 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. Bibliography: 22 titles.

UR - http://www.scopus.com/inward/record.url?scp=34247393576&partnerID=8YFLogxK

U2 - 10.1007/s10958-007-0174-6

DO - 10.1007/s10958-007-0174-6

M3 - Article

AN - SCOPUS:34247393576

VL - 143

SP - 2883

EP - 2910

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 92248205