359 citations · 1k across the 39 of their papers we have counts for
4 papers · 2 filters
Quantitative homogenization for the obstacle problem and its free boundary
Gohar Aleksanyan, Tuomo Kuusi
In this manuscript we prove quantitative homogenization results for the obstacle problem with bounded measurable coefficients. As a consequence, large-scale regularity results both…
Optimal unique continuation for periodic elliptic equations on large scales
Scott Armstrong, Tuomo Kuusi, Charles Smart
We prove a quantitative, large-scale doubling inequality and large-scale three-ellipsoid inequality for solutions of uniformly elliptic equations with periodic coefficients. These…
Global existence for the p-Sobolev flow
Tuomo Kuusi, Masashi Misawa, Kenta Nakamura
In this paper, we study a doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow. In the special case p=2 our…
Regularity estimates for the p-Sobolev flow
Tuomo Kuusi, Masashi Misawa, Kenta Nakamura
We study doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow from now on, which includes the classical Yama…