Abstract

Let Ω0 be a bounded domain in ℝn, letG be a family of diffeomorphisms, and let Ω G =G(Ω0), forG∈G. Denote by Σ t (G) the semigroup generated by a fixed parabolic PDE with Dirichlet boundary conditions on the boundary of Ω G . LetA G be the global attractor of Σ t (G). Conditions are given under which a generic diffeomorphismG∈G is a continuity point of the mapG »A G . Bibliography: 12 titles.

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