Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Gamma-convergence argument for the blow-up of a non-local semilinear
  parabolic equation with Neumann boundary conditions   In this paper we study a simple non-local semilinear parabolic equation with
Neumann boundary condition. We give local existence result and prove global
existence for small initial data. A natural non increasing in time energy is
associated to this equation. We prove that the solution blows up at finite time
$T$ if and only if its energy is negative at some time before $T$. The proof of
this result is based on a Gamma-convergence technique.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin