Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal control of infinite dimensional bilinear systems: Application to
  the heat and wave equations   In this paper we consider second order optimality conditions for a bilinear
optimal control problem governed by a strongly continuous semigroup operator,
the control entering linearly in the cost function. We derive first and second
order optimality conditions, taking advantage of the Goh transform. We then
apply the results to the heat and wave equations.

33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin