… corrector equation for the second order elliptic system on the ddimensional torus of size L (d
≥ 2), associated with random coefficients A … the gradient of the corrector, independent of the …

… We consider an elliptic system of equations on the torus [−L … we consider the case of
random but periodic A. In this case the corrector is defined as a periodic solution on the torus with …

… elliptic systems. Finally, we point out that the arguments leading to the Lipschitz estimate (…
of the approximate correctors for linear elliptic systems using concentration inequalities, and …

… -Zygmund estimates) to elliptic systems with random coefficients. The scale at which this …
of corrector to the random setting: Roughly speaking, if a denotes a random coefficient field, …

… and Calder�n-Zygmund estimates) to elliptic systems with random coefficients. The scale at
… of corrector to the random setting: Roughly speaking, if a denotes a random coefficient field, …

… elliptic equations (and systems) in divergence form with almost periodic coefficients have
bounded, almost periodic … elliptic equations with almost periodic coefficients, taking the form …

… To obtain an almost sharp decay estimate, we resort to boundary correctors, which in turn …
The subject matter of this paper concerns elliptic systems; however, for the sake of clarity in the …

… true correctors by solving (1.1) in a bounded domain \(D_L\) with suitable boundary condition.
The periodic … of the effective coefficient \(\bar{a}\) in the limit \(L \rightarrow \infty \) [6, 19]. …

… The random coefficients for the elliptic equation we consider in this paper are mean zero …
For the random coefficients described above, we show that the corrector to homogenization has …

… from quantitative estimates for linear elliptic systems with strongly correlated coefficient fields…
This perturbative regime allows us to linearise the problem with repsect to δ in the corrector …