Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Floquet Problem and Center Manifold Reduction for Ordinary Differential
  Operators with Periodic Coefficients in Hilbert Spaces   A first order differential equation with a periodic operator coefficient
acting in a pair of Hilbert spaces is considered. This setting models both
elliptic equations with periodic coefficients in a cylinder and parabolic
equations with time periodic coefficients. Our main results are a construction
of a pointwise projector and a spectral splitting of the system into a finite
dimensional system of ordinary differential equations with constant
coefficients and an infinite dimensional part whose solutions have better
properties in a certain sense. This complements the well-known asymptotic
results for periodic hypoelliptic problems in cylinders (Kuchment) and for
elliptic problems in quasicylinders (Nazarov).
  As an application we give a center manifold reduction for a class of
non-linear ordinary differential equations in Hilbert spaces with periodic
coefficients. This result generalizes the known case with constant coefficients
(Mielke).

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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat