Quantitative propagation of smallness for solutions of elliptic equations

Alexander Logunov, Eugenia Malinnikova

Let $u$ be a solution to an elliptic equation $\text{div}(A\nabla u)=0$ with Lipschitz coefficients in ${\mathbb{R}}^n$. Assume $|u|$ is bounded by $1$ in the ball $B=\{|x|\le 1\}$.…