Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inhomogeneous Parabolic Neumann Problems   We study second order parabolic equations on Lipschitz domains subject to
inhomogeneous Neumann (or, more generally, Robin) boundary conditions. We prove
existence and uniqueness of weak solutions and their continuity up to the
boundary of the parabolic cylinder. Under natural assumptions on the
coefficients and the inhomogeneity we can also prove convergence to an
equilibrium or asymptotic almost periodicity.

12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga