Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear smoothing and unconditional uniqueness for the Benjamin-Ono
  equation in weighted Sobolev spaces   We consider the Benjamin-Ono equation on the real line for initial data in
weighted Sobolev spaces. After the application of the gauge transform, the flow
is shown to be Lipschitz continuous and to present a nonlinear smoothing
effect. As a consequence, unconditional uniqueness for the Benjamin-Ono
equation is proved.

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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn