Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical time for the observability of Kolmogorov-type equations   This paper is devoted to the observability of a class of two-dimensional
Kolmogorov-type equations presenting a quadratic degeneracy. We give lower and
upper bounds for the critical time. These bounds coincide in symmetric
settings, giving a sharp result in these cases. The proof is based on Carleman
estimates and on the spectral properties of a family of non-selfadjoint
Schr\"odinger operators, in particular the localization of the first eigenvalue
and Agmon type estimates for the corresponding eigenfunctions.

3
The categories of this paper are: physics
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn