Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak Continuity of the Flow Map for the Benjamin-Ono Equation on the
  Line   In this paper we show that the floow map of the Benjamin-Ono equation on the
line is weakly continuous in L2(R), using "local smoothing" estimates. L2(R) is
believed to be a borderline space for the local well-posedness theory of this
equation. In the periodic case, Molinet [27] has recently proved that the flow
map of the Benjamin-Ono equation is not weakly continuous in L2(T). Our results
are in line with previous work on the cubic nonlinear Schrodinger equation,
where Goubet and Molinet [11] showed weak continuity in L2(R) and Molinet [28]
showed lack of weak continuity in L2(T).

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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con