The Dirichlet-to-Neumann map for Schrödinger operators with complex potentials
Jussi Behrndt A. F. M. ter Elst
Discrete & Continuous Dynamical Systems - S 2017, 10(4): 661-671 doi: 10.3934/dcdss.2017033

Let $\Omega \subset \mathbb{R}^d$ be a bounded open set with Lipschitz boundary and let $q \colon \Omega \to \mathbb{C}$ be a bounded complex potential. We study the Dirichlet-to-Neumann graph associated with the operator $- \Delta + q$ and we give an example in which it is not $m$-sectorial.

keywords: Dirichlet-to-Neumann graph m-sectorial graph form methods

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