Abstract
We consider a reaction-diffusion equation defined on a sequence of bounded open sets \({(\Omega_n)_n \in \mathbb{N}}\), converging to \({\Omega}\) in the sense of Mosco, and we prove stability of invariant manifolds of the flux with respect to domain perturbation.
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Varchon, N. Domain perturbation and invariant manifolds. J. Evol. Equ. 12, 547–569 (2012). https://doi.org/10.1007/s00028-012-0144-4
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DOI: https://doi.org/10.1007/s00028-012-0144-4