Geodesic
Continuous dependence of attractors on the shape of domain
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 26, Tome 221 (1995), pp. 58-66 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Let $\Omega_0$ be a bounded domain in $\mathbb R^n$, let $\mathcal G$ be a family of diffeomorphisms, and let $\Omega_G=G(\Omega_0)$ for $G\in\mathcal G$. Denote by $\Sigma_t(G)$ the semigroup generated by a fixed parabolic PDE with Dirichlet boundary conditions on the boundary of $\Omega_G$. Let $A_G$ be the global attractor $\Sigma_t(G)$. Conditions are given under which a generic diffeomorphism $G\in\mathcal G$ is a continuity point of the map $G\mapsto A_G$. Bibliography: 12 titles. 
@article{ZNSL_1995_221_a3,
     author = {A. V. Babin and S. Yu. Pilyugin},
     title = {Continuous dependence of attractors on the shape of domain},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {58--66},
     year = {1995},
     volume = {221},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_221_a3/}
}
TY  - JOUR
AU  - A. V. Babin
AU  - S. Yu. Pilyugin
TI  - Continuous dependence of attractors on the shape of domain
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1995
SP  - 58
EP  - 66
VL  - 221
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1995_221_a3/
LA  - en
ID  - ZNSL_1995_221_a3
ER  - 
%0 Journal Article
%A A. V. Babin
%A S. Yu. Pilyugin
%T Continuous dependence of attractors on the shape of domain
%J Zapiski Nauchnykh Seminarov POMI
%D 1995
%P 58-66
%V 221
%U http://geodesic.mathdoc.fr/item/ZNSL_1995_221_a3/
%G en
%F ZNSL_1995_221_a3
A. V. Babin; S. Yu. Pilyugin. Continuous dependence of attractors on the shape of domain. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 26, Tome 221 (1995), pp. 58-66. http://geodesic.mathdoc.fr/item/ZNSL_1995_221_a3/