Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Final State Observability in Banach spaces with applications to
  Subordination and Semigroups induced by L{\'e}vy processes   This paper generalizes the abstract method of proving an observability
estimate by combining an uncertainty principle and a dissipation estimate. In
these estimates we allow for a large class of growth/decay rates satisfying an
integrability condition. In contrast to previous results, we use an iterative
argument which enables us to give an asymptotically sharp estimate for the
observation constant and which is explicit in the model parameters. We give two
types of applications where the extension of the growth/decay rates naturally
appear. By exploiting subordination techniques we show how the dissipation
estimate of a semigroup transfers to subordinated semigroups. Furthermore, we
apply our results to semigroups related to L{\'e}vy processes.

34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org