Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of nonlinear generalized functions: a counterexample in the
  nonstandard setting   Regularity theory in generalized function algebras of Colombeau type is
largely based on the notion of ${\mathcal G}^\infty$-regularity, which reduces
to $C^\infty$-regularity when restricted to Schwartz distributions.
Surprisingly, in the nonstandard version of the Colombeau algebras, this basic
property of ${\mathcal G}^\infty$-regularity does not hold.

21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol