Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Control and Stabilization of the Benjamin-Ono equation in $L^2(\mathbb
  T)$   We prove the control and stabilization of the Benjamin-Ono equation in
$L^2(\T)$, the lowest regularity where the initial value problem is well-posed.
This problem was already initiated in \cite{LinaresRosierBO} where a stronger
stabilization term was used (that makes the equation of parabolic type in the
control zone). Here we employ a more natural stabilization term related to the
$L^2$ norm. Moreover, by proving a theorem of controllability in $L^2$, we
manage to prove the global controllability in large time. Our analysis relies
strongly on the bilinear estimates proved in \cite{MolinetPilodBO} and some new
extension of these estimates established here.

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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
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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: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
6
The categories of this paper are: astro-ph