Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates for fundamental solutions of parabolic equations in
  non-divergence form   We construct the fundamental solution of second order parabolic equations in
non-divergence form under the assumption that the coefficients are of Dini mean
oscillation in the spatial variables. We also prove that the fundamental
solution satisfies a sub-Gaussian estimate. In the case when the coefficients
are Dini continuous in the spatial variables and measurable in the time
variable, we establish the Gaussian bounds for the fundamental solutions. We
present a method that works equally for second order parabolic systems in
non-divergence form.

0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
9
The categories of this paper are: nlin