Ševčovič, Daniel The \(C^ 1\) stability of slow manifolds for a system of singularly perturbed evolution equations. (English) Zbl 0821.35011 Commentat. Math. Univ. Carol. 36, No. 1, 89-107 (1995). Summary: 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 \(C^ 1\) stability of invariant manifolds with respect to small values of the singular parameter. MSC: 35B25 Singular perturbations in context of PDEs 35B40 Asymptotic behavior of solutions to PDEs Keywords:\(C^ 1\) stability of inertial manifolds; slow invariant manifolds; evolution equations in Banach spaces PDFBibTeX XMLCite \textit{D. Ševčovič}, Commentat. Math. Univ. Carol. 36, No. 1, 89--107 (1995; Zbl 0821.35011) Full Text: EuDML