Inverse problems for the spectral fractional Laplacian with inhomogeneous Dirichlet boundary data

Abstract

In this paper, we study the spectral fractional Laplacian with inhomogeneous Dirichlet boundary data. Our contributions are twofold: first we introduce a Dirichlet-to-Neumann map for this operator and analyze an associated inverse problem; and second we establish an additional density result for the spectral fractional Laplacian.

27 pages, comments welcome