Stability with Respect to Perturbations
We prove in the chapter the stability of the inertial manifolds constructed before with respect to perturbations. Three types of perturbations will be explicitly considered here: perturbations of the operators corresponding to a Galerkin approximity of the problem, perturbation of the viscosity parameter v, and perturbation of the right-hand side f (see(4.1)). Although we restrict ourselves to these three perturbations for the sake of simplicity, we believe that our perturbation results apply to more general situations.
KeywordsGeneral Situation Lipschitz Constant Isoperimetric Inequality Galerkin Approximation Integral Manifold
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