Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local well-posedness of the fifth-order KdV-type equations on the
  half-line   This paper is a continuation of authors' previous work \cite{CK2018-1}. We
extend the argument \cite{CK2018-1} to fifth-order KdV-type equations with
different nonlinearities, in specific, where the scaling argument does not
hold. We establish the $X^{s,b}$ nonlinear estimates for $b < \frac12$, which
is almost optimal compared to the standard $X^{s,b}$ nonlinear estimates for $b
> \frac12$ \cite{CGL2010, JH2009}. As an immediate conclusion, we prove the
local well-posedness of the initial-boundary value problem (IBVP) for
fifth-order KdV-type equations on the right half-line and the left half-line.

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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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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: physics
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess