Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal function estimates and local well-posedness for the generalized
  Zakharov--Kuznetsov equation   We prove a high-dimensional version of the Strichartz estimates for the
unitary group associated to the free Zakharov--Kuznetsov equation. As a
by--product, we deduce maximal estimates which allow us to prove local
well-posedness for the generalized Zakharov--Kuznetsov equation in the whole
subcritical case whenever $d \ge 4, k \ge 4,$ complementing the recent results
of Kinoshita and Herr--Kinoshita. Finally, we use some of those maximal
estimates in order to prove pointwise convergence results for the flow of the
generalized Zakharov--Kuznetsov equation in any dimension, in the same spirit
of a recent manuscript by Compaan, Luc\`a and Staffilani.

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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nlin