The Dirichlet-to-Neumann map for Schrödinger operators with complex potentials

Abstract

LetΩ ⊂ ℝd be a bounded open set with Lipschitz boundary and let q ω→ ℂ be a bounded complex potential. We study the Dirichlet-to- Neumann graph associated with the operator -Δ+ q and we give an example in which it is not m-sectorial.