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

  • * Corresponding author: A.F.M ter Elst

    * Corresponding author: A.F.M ter Elst
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  • 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.

    Mathematics Subject Classification: 35J57, 47F05.


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