Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Cauchy problem for fractional Camassa-Holm equation in Besov space   In this paper, we consider the fractional Camassa-Holm equation modelling the
propagation of small-but-finite amplitude long unidirectional waves in a
nonlocally and nonlinearly elastic medium. First, we establish the local
well-posedness in Besov space $B^{s_0}_{2,1}$ with $s_0=2\nu-\frac 1 2$ for
$\nu>\frac 3 2 $ and $s_0=\frac 5 2$ for $1<\nu\leq \frac 3 2 $. Then, with a
given analytic initial data, we establish the analyticity of the solutions in
both variables, globally in space and locally in time.

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The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
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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: astro-ph
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The categories of this paper are: supr-con
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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
3
The categories of this paper are: physics