Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal control for a conserved phase field system with a possibly
  singular potential   In this paper we study a distributed control problem for a phase-field system
of conserved type with a possibly singular potential. We mainly handle two
cases: the case of a viscous Cahn-Hilliard type dynamics for the phase variable
in case of a logarithmic-type potential with bounded domain and the case of a
standard Cahn-Hilliard equation in case of a regular potential with unbounded
domain, like the classical double-well potential, for example. Necessary first
order conditions of optimality are derived under natural assumptions on the
data.

11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th