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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011 Number 6, Pages 3–7 (Mi vmumm727)

This article is cited in 1 paper

Mathematics

Inertial manifold for a hyperbolic equation with dissipation

N. A. Chalkina

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 517.956.35

Received: 23.11.2010



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