Domain perturbation and invariant manifolds
Nicolas Varchon · Journal of Evolution Equations · 2012
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.