Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity properties of some perturbations of non-densely defined
  operators with applications   This paper is to study some conditions on semigroups, generated by some class
of non-densely defined operators in the closure of its domain, in order that
certain bounded perturbations preserve some regularity properties of the
semigroup such as norm continuity, compactness, differentiability and
analyticity. Furthermore, we study the critical and essential growth bound of
the semigroup under bounded perturbations. The main results generalize the
corresponding results in the case of Hille-Yosida operators. As an
illustration, we apply the main results to study the asymptotic behaviors of a
class of age-structured population models in $ L^p $ spaces ($ 1 \leq p <
\infty $).

13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess