Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation of Analytic Semigroups and Applications to Partial
  Differential Equations   In a recent paper we presented a general perturbation result for generators
of $C_0$-semigroups. The aim of the present paper is to replace, in case the
unperturbed semigroup is analytic, the various conditions appearing in this
result by simpler assumptions on the domain and range of the operators
involved. The power of our result to treat classes of PDE's systematically is
illustrated by considering a generic example, a degenerate differential
operator with generalized Wentzell boundary conditions and a reaction diffusion
equation subject to Neumann boundary conditions with distributed unbounded
delay.

17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int