Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low regularity well-posedness for KP-I equations: the dispersion
  generalised case   We prove new local and global well-posedness results for
dispersion-generalized Kadomtsev--Petviashvili I equations in $\R^2$, which
family links the classical KP-I equation with the fifth order KP-I equation. To
this end, we combine resonance and transversality considerations with
Strichartz estimates and a nonlinear Loomis--Whitney inequality. Moreover, we
prove that for small dispersion, the equations cannot be solved via Picard
iteration. In this case, we use an additional frequency dependent time
localization.

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The categories of this paper are: bayes-an
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The categories of this paper are: cs
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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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: alg-geom
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin