Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal $\bf L^p$ analysis of finite element solutions for parabolic
  equations with nonsmooth coefficients in convex polyhedra   The paper is concerned with Galerkin finite element solutions for parabolic
equations in a convex polygon or polyhehron with a diffusion coefficient in
$W^{1,N+\epsilon}$ for some $\epsilon>0$, where $N$ denotes the dimension of
the domain. We prove the analyticity of the semigroup generated by the discrete
elliptic operator, the discrete maximal $L^p$ regularity and the optimal $L^p$
error estimate of the finite element solution for the parabolic equation.

24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int