Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Continuous dependence of attractors on the shape of domain. / Babin, A. V.; Pilyugin, S. Yu.
в: Journal of Mathematical Sciences , Том 87, № 2, 1997, стр. 3304-3310.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Continuous dependence of attractors on the shape of domain
AU - Babin, A. V.
AU - Pilyugin, S. Yu
PY - 1997
Y1 - 1997
N2 - Let Ω0 be a bounded domain in ℝn, let G be a family of diffeomorphisms, and let ΩG = G(Ω 0) for G ∈ G. Denote by Et(G) the semigroup generated by a fixed parabolic PDE with Dirichlet boundary conditions on the boundary of ΩG. Let AG be the global attractor of E t(G). Conditions are given under which a generic diffeomorphism G ∈ G is a continuity point of the map G → AG.
AB - Let Ω0 be a bounded domain in ℝn, let G be a family of diffeomorphisms, and let ΩG = G(Ω 0) for G ∈ G. Denote by Et(G) the semigroup generated by a fixed parabolic PDE with Dirichlet boundary conditions on the boundary of ΩG. Let AG be the global attractor of E t(G). Conditions are given under which a generic diffeomorphism G ∈ G is a continuity point of the map G → AG.
UR - http://www.scopus.com/inward/record.url?scp=53249119619&partnerID=8YFLogxK
U2 - 10.1007/BF02355582
DO - 10.1007/BF02355582
M3 - Article
AN - SCOPUS:53249119619
VL - 87
SP - 3304
EP - 3310
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 2
ER -
ID: 92249172