Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unbounded solutions of the nonlocal heat equation   We consider the Cauchy problem posed in the whole space for the following
nonlocal heat equation: u_t = J * u - u, where J is a symmetric continuous
probability density. Depending on the tail of J, we give a rather complete
picture of the problem in optimal classes of data by: (i) estimating the
initial trace of (possibly unbounded) solutions; (ii) showing existence and
uniqueness results in a suitable class; (iii) giving explicit unbounded
polynomial solutions.

11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int