Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local uniform convergence and eventual positivity of solutions to
  biharmonic heat equations   We study the evolution equation associated with the biharmonic operator on
infinite cylinders with bounded smooth cross-section subject to Dirichlet
boundary conditions. The focus is on the asymptotic behaviour and positivity
properties of the solutions for large times. In particular, we derive the local
eventual positivity of solutions. We furthermore prove the local eventual
positivity of solutions to the biharmonic heat equation and its generalisations
on Euclidean space. The main tools in our analysis are the Fourier transform
and spectral methods.

3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th