Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Hadamard well-posedness and blow-up for reaction-diffusion
  equations with non-linear dynamical boundary conditions   The paper deals with local well-posedness, global existence and blow-up
results for reaction--diffusion equations coupled with nonlinear dynamical
boundary conditions.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys