Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Summability of solutions of the heat equation with inhomogeneous thermal
  conductivity in two variables   We investigate Gevrey order and 1-summability properties of the formal
solution of a general heat equation in two variables. In particular, we give
necessary and sufficient conditions for the 1-summability of the solution in a
given direction. When restricted to the case of constants coefficients, these
conditions coincide with those given by D.A. Lutz, M. Miyake, R. Schaefke in a
1999 article, and we thus provide a new proof of their result.

31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph