Geodesic
The C$^1$ stability of slow manifolds for a system of singularly perturbed evolution equations
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 89-107.

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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$^{1}$ stability of invariant manifolds with respect to small values of the singular parameter.
Classification : 34D45, 34E15, 34G20, 35B25, 35B40, 35C30, 35K55, 35L15, 47H20
Keywords: singularly perturbed evolution equations; C$^1$ stability of inertial manifolds 
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     author = {\v{S}ev\v{c}ovi\v{c}, Daniel},
     title = {The {C}$^1$ stability of slow manifolds for a system of singularly perturbed evolution equations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {89--107},
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     number = {1},
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     zbl = {0821.35011},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_1995__36_1_a11/}
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Ševčovič, Daniel. The C$^1$ stability of slow manifolds for a system of singularly perturbed evolution equations. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 89-107. http://geodesic.mathdoc.fr/item/CMUC_1995__36_1_a11/