Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A mean value inequality for the generalized self-expander type
  submanifolds and its application   In this paper we get a version of mean value inequality for generalized
self-expander type submanifolds in Euclidean space. As the application, we
prove that if mean curvature flow $M(t)$ on the self-expander in Euclidean
space subconverges to an $n$-rectifiable varifold $T$ in weak sense for $t$
goes to the singular time, then $T$ must be the cone.

18
The categories of this paper are: econ
3
The categories of this paper are: physics
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an