Abstract
For the majority of this chapter we study the continuity under perturbation of hyperbolic global solutions and their stable and unstable manifolds, for an abstract process S( ⋅, ⋅) on a Banach space X. Such results are the main ingredient required to apply the lower semicontinuity results for global and pullback attractors like Theorems 3.8 and 3.11 from Chap. 3 and Theorems 5.26 and 5.36 from Chap. 5.
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Carvalho, A.N., Langa, J.A., Robinson, J.C. (2013). Hyperbolic solutions and their stable and unstable manifolds. In: Attractors for infinite-dimensional non-autonomous dynamical systems. Applied Mathematical Sciences, vol 182. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4581-4_8
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DOI: https://doi.org/10.1007/978-1-4614-4581-4_8
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