Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the regularity of solutions to the $k$-generalized Korteweg-de Vries
  equation   This work is concerned with special regularity properties of solutions to the
$k$-generalized Korteweg-de Vries equation. In \cite{IsazaLinaresPonce} it was
established that if the initial datun $u_0\in H^l((b,\infty))$ for some
$l\in\mathbb Z^+$ and $b\in \mathbb R$, then the corresponding solution
$u(\cdot,t)$ belongs to $H^l((\beta,\infty))$ for any $\beta \in \mathbb R$ and
any $t\in (0,T)$. Our goal here is to extend this result to the case where
$\,l\in \mathbb R^+$.

36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph