Showing math.APShow all
2 papers · 1 filter
math.AP2019
Higher-order linearization and regularity in nonlinear homogenization
Scott Armstrong, Samuel J. Ferguson, Tuomo Kuusi
We prove large-scale regularity for solutions of nonlinear elliptic equations with random coefficients, thereby obtaining a version of the statement of Hilbert's 19th pr…
math.AP2018
Homogenization, linearization and large-scale regularity for nonlinear elliptic equations
Scott Armstrong, Sam Ferguson, Tuomo Kuusi
We consider nonlinear, uniformly elliptic equations with random, highly oscillating coefficients satisfying a finite range of dependence. We prove that homogenization and lineariza…