Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Staffans-Weiss perturbations for Maximal $L^p$-regularity in Banach
  spaces   In this paper we show that the concept of maximal $L^p$-regularity is stable
under a large class of unbounded perturbations, namely Staffans-Weiss
perturbations. To that purpose, we first prove that the analyticity of
semigroups is preserved under this class of perturbations, which is a necessary
condition for the maximal regularity. In UMD spaces, $\mathcal{R}$-boundedness
conditions are exploited to give conditions guaranteing the maximal regularity.
For non-reflexive Banach space, a condition is imposed to the Dirichlet
operator associated to the boundary value problem to prove the maximal
regularity. A Pde example illustrating the theory and an application to a class
of non-autonomous perturbed boundary value problems are presented.

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The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con