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- W2952960512 abstract "Let $Lambda$ be a complete metric space, and let ${S_lambda(cdot): lambdainLambda}$ be a parametrised family of semigroups with global attractors ${mathscr A}_lambda$. We assume that there exists a fixed bounded set $D$ such that ${mathscr A}_lambdasubset D$ for every $lambdainLambda$. By viewing the attractors as the limit as $ttoinfty$ of the sets $S_lambda(t)D$, we give simple proofs of the equivalence of `equi-attraction' to continuity (when this convergence is uniform in $lambda$) and show that the attractors ${mathscr A}_lambda$ are continuous in $lambda$ at a residual set of parameters in the sense of Baire Category (when the convergence is only pointwise)." @default.
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- W2952960512 date "2014-07-11" @default.
- W2952960512 modified "2023-09-25" @default.
- W2952960512 title "On the continuity of global attractors" @default.
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- W2952960512 doi "https://doi.org/10.48550/arxiv.1407.3306" @default.
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