Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 152 (1986), pp. 72-85
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O. A. Ladyzhenskaya. On the attractors of nonlinear evolution problems. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 152 (1986), pp. 72-85. http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a7/
@article{ZNSL_1986_152_a7,
author = {O. A. Ladyzhenskaya},
title = {On the attractors of nonlinear evolution problems},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {72--85},
year = {1986},
volume = {152},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a7/}
}
TY - JOUR
AU - O. A. Ladyzhenskaya
TI - On the attractors of nonlinear evolution problems
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1986
SP - 72
EP - 85
VL - 152
UR - http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a7/
LA - ru
ID - ZNSL_1986_152_a7
ER -
%0 Journal Article
%A O. A. Ladyzhenskaya
%T On the attractors of nonlinear evolution problems
%J Zapiski Nauchnykh Seminarov POMI
%D 1986
%P 72-85
%V 152
%U http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a7/
%G ru
%F ZNSL_1986_152_a7
She existence of a compact connected global attractor in the space $X=W_2^2(\Omega)\times W_2^1(\Omega)$ for the problem $u_{tt}+\varepsilon u_t-\Delta u+f(u)=h(x)$, $x\in\Omega\subset\mathbb R^3$, $u|_{\partial\Omega}=0$, with cubical growth of $f(u)$ is prooved.
