Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2011), pp. 3-7
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N. A. Chalkina. Inertial manifold for a hyperbolic equation with dissipation. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2011), pp. 3-7. http://geodesic.mathdoc.fr/item/VMUMM_2011_6_a0/
@article{VMUMM_2011_6_a0,
author = {N. A. Chalkina},
title = {Inertial manifold for a hyperbolic equation with dissipation},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {3--7},
year = {2011},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_6_a0/}
}
TY - JOUR
AU - N. A. Chalkina
TI - Inertial manifold for a hyperbolic equation with dissipation
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2011
SP - 3
EP - 7
IS - 6
UR - http://geodesic.mathdoc.fr/item/VMUMM_2011_6_a0/
LA - ru
ID - VMUMM_2011_6_a0
ER -
%0 Journal Article
%A N. A. Chalkina
%T Inertial manifold for a hyperbolic equation with dissipation
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2011
%P 3-7
%N 6
%U http://geodesic.mathdoc.fr/item/VMUMM_2011_6_a0/
%G ru
%F VMUMM_2011_6_a0
{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.
