Properties of IFS attractors with non-empty interiors, related rough domains, and associated function spaces and scattering problems

António Caetano, Simon N. Chandler-Wilde, David P. Hewett

We study fractal sets $\Gamma \subset {\mathbb{R}}^n$ with non-empty interior $\Omega$, that are attractors of iterated function systems (IFSs) of contracting similarities satisfying the open s…