Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 6, Pages 3–7 (Mi vmumm727)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Inertial manifold for a hyperbolic equation with dissipation

N. A. Chalkina

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (343 kB) Citations (1)
Abstract: {Sufficient conditions for the existence of an inertial manifold are found for the equation $u_{tt}+2\gamma u_t-\Delta u=f(u, u_t)$, $u=u(x, t), x\in\Omega\Subset\mathbb{R}^N, u|_{\partial\Omega}=0, t>0$ and the function $f$ is supposed to satisfy the Lipschitz condition.
Key words: inertial manifold, hyperbolic equation with dissipation.
Received: 23.11.2010
Bibliographic databases:
Document Type: Article
UDC: 517.956.35
Language: Russian
Citation: N. A. Chalkina, “Inertial manifold for a hyperbolic equation with dissipation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 6, 3–7
Citation in format AMSBIB
\Bibitem{Cha11}
\by N.~A.~Chalkina
\paper Inertial manifold for a hyperbolic equation with dissipation
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 6
\pages 3--7
\mathnet{http://mi.mathnet.ru/vmumm727}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2964316}
\zmath{https://zbmath.org/?q=an:1304.35394}
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  • This publication is cited in the following 1 articles:
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