Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A boundary control problem for the pure Cahn-Hilliard equation with
  dynamic boundary conditions   A boundary control problem for the pure Cahn-Hilliard equations with possibly
singular potentials and dynamic boundary conditions is studied and first-order
necessary conditions for optimality are proved.
  Key words: Cahn-Hilliard equation, dynamic boundary conditions, phase
separation, singular potentials, optimal control, optimality conditions

8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat