Regularity of center manifolds under nonuniform hyperbolicity (Q536119)
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scientific article; zbMATH DE number 5888330
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of center manifolds under nonuniform hyperbolicity |
scientific article; zbMATH DE number 5888330 |
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Regularity of center manifolds under nonuniform hyperbolicity (English)
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16 May 2011
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The authors construct \(C^{k}\) invariant center manifolds for the differential equation \(u'=A(t)u+f(t,u)\) with \(f(t,0)=0\). They prove that the invariant manifolds are as regular as the vector field. They obtain their results from sufficiently small perturbations of a uniform exponential trichotomy.
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nonuniform exponential dichotomies
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center manifolds
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