Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal regularity of multistep fully discrete finite element methods
  for parabolic equations   This article extends the semidiscrete maximal $L^p$-regularity results in
[27] to multistep fully discrete finite element methods for parabolic equations
with more general diffusion coefficients in $W^{1,d+\beta}$, where $d$ is the
dimension of space and $\beta>0$. The maximal angles of $R$-boundedness are
characterized for the analytic semigroup $e^{zA_h}$ and the resolvent operator
$z(z-A_h)^{-1}$, respectively, associated to an elliptic finite element
operator $A_h$. Maximal $L^p$-regularity, optimal $\ell^p(L^q)$ error estimate,
and $\ell^p(W^{1,q})$ estimate are established for fully discrete finite
element methods with multistep backward differentiation formula.

31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph