Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equation and dynamic boundary condition of Cahn-Hilliard type with
  singular potentials   The well-posedness of a system of partial differential equations and dynamic
boundary conditions, both of Cahn-Hilliard type, is discussed. The existence of
a weak solution and its continuous dependence on the data are proved using a
suitable setting for the conservation of a total mass in the bulk plus the
boundary. A very general class of double-well like potentials is allowed.
Moreover, some further regularity is obtained to guarantee the strong solution.

36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc