Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Corrector estimates for higher-order linearizations in stochastic
  homogenization of nonlinear uniformly elliptic equations   Corrector estimates constitute a key ingredient in the derivation of optimal
convergence rates via two-scale expansion techniques in homogenization theory
of random uniformly elliptic equations. The present work follows up - in terms
of corrector estimates - on the recent work of Fischer and Neukamm
(arXiv:1908.02273) which provides a quantitative stochastic homogenization
theory of nonlinear uniformly elliptic equations under a spectral gap
assumption. We establish optimal-order estimates (with respect to the scaling
in the ratio between the microscopic and the macroscopic scale) for
higher-order linearized correctors. A rather straightforward consequence of the
corrector estimates is the higher-order regularity of the associated
homogenized monotone operator.

3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
9
The categories of this paper are: nlin