Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Harnack inequality for parabolic minimizers in metric measure
  spaces   In this note we consider problems related to parabolic partial differential
equations in geodesic metric measure spaces, that are equipped with a doubling
measure and a Poincar\'e inequality. We prove a location and scale invariant
Harnack inequality for a minimizer of a variational problem related to a doubly
non-linear parabolic equation involving the p-Laplacian. Moreover, we prove the
sufficiency of the Grigor'yan--Saloff-Coste theorem for general p > 1 in
geodesic metric spaces. The approach used is strictly variational, and hence we
are able to carry out the argument in the metric setting.

24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int