7 citations · 7 across the 14 of their papers we have counts for
3 papers · 1 filter
Perturbations of elliptic operators in chord arc domains
Emmanouil Milakis, Jill Pipher, Tatiana Toro
We study the boundary regularity of solutions to divergence form operators which are small perturbations of operators for which the boundary regularity of solutions is known. An op…
On the extension property of Reifenberg-flat domains
Antoine Lemenant, Emmanouil Milakis, Laura V. Spinolo
We provide a detailed proof of the fact that any domain which is sufficiently flat in the sense of Reifenberg is also Jones-flat, and hence it is an extension domain. We discuss va…
Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains
Antoine Lemenant, Emmanouil Milakis, Laura V. Spinolo
In this paper we establish new quantitative stability estimates with respect to domain perturbations for all the eigenvalues of both the Neumann and the Dirichlet Laplacian. Our ma…