The Dirichlet-to-Neumann operator on rough domains

W. Arendt, A. F. M. ter Elst

We consider a bounded connected open set $\Omega \subset {\mathrm{R}}^d$ whose boundary $\Gamma$ has a finite $(d-1)$-dimensional Hausdorff measure. Then we define the Dirichlet-to-Neumann operato…