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Attracting manifolds for evolutionary equations. (English) Zbl 1098.34552

The author surveys the dependence of compact global attractors \(A_\lambda\) upon parameters \(\lambda\in\Lambda\). He gives results on the upper semicontinuity of compact global attractors and the existence of inertial manifolds for certain problems.

MSC:

34G20 Nonlinear differential equations in abstract spaces
34C30 Manifolds of solutions of ODE (MSC2000)
34D45 Attractors of solutions to ordinary differential equations
34K25 Asymptotic theory of functional-differential equations
35K90 Abstract parabolic equations
47H20 Semigroups of nonlinear operators
37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
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