Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness for the Kadomtsev-Petviashvili II equation and
  generalisations   We show the local in time well-posedness of the Cauchy problem for the
Kadomtsev-Petviashvili II equation for initial data in the non-isotropic
Sobolev space H^{s_1,s_2}(R^2) with s_1 > -1/2 and s_2 \geq 0. On the
H^{s_1,0}(R^2) scale this result includes the full subcritical range without
any additional low frequency assumption on the initial data. More generally, we
prove the local in time well-posedness of the Cauchy problem for a dispersion
generalised KP II type equation. We also deduce a global well-posedness result
for the generalised equation.

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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn