The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript

no code implementations • 12 Feb 2021 • Alexandre Girouard, Mikhail Karpukhin, Michael Levitin, Iosif Polterovich

How close is the Dirichlet-to-Neumann (DtN) map to the square root of the corresponding boundary Laplacian?

Spectral Theory Differential Geometry Primary 58J50. Secondary 35P20