Abstract:In this paper we investigate the singular limiting behavior of slow invariant manifolds for a system of singularly perturbed evolution equations in Banach spaces. The aim is to prove the C stability of invariant manifolds with respect to small values of the singular parameter.
Keywords: singularly perturbed evolution equations, C stability of inertial manifolds
AMS Subject Classification: 35C30, 35B25, 34E15, 35B40, 35L15