Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by <i>d</i>-sets
Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by <i>d</i>-sets
In the framework of the Laplacian transport, described by a Robin boundary value problem in an exterior domain in $\mathbb{R}^n$ , we generalize the definition of the Poincaré-Steklov operator to $d$ -set boundaries, $n-2< d<n$ , and give its spectral properties to compare to the spectra of the interior domain …