Fractional powers of sectorial operators via the Dirichlet-to-Neumann operator

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

In the very influential paper \cite{CS07} Caffarelli and Silvestre studied regularity of $(-\Delta {)}^s$, $0<s<1$, by identifying fractional powers with a certain Dirichlet-to-Neumann ope…