Explicit characterisation of the fractional power spaces of the Dirichlet Laplacian and Stokes operators

Abstract

We identify explicitly the fractional power spaces for the $L^2$ Dirichlet Laplacian and Dirichlet Stokes operators using the theory of real interpolation. The results are not new, but we hope that our arguments are relatively accessible.

10 pages. Most of this previously appeared as part of arXiv:1904.03337v1, which was subsequently split for publication