Abstract
On a model of waveguide with non-Hermitian Robin-type boundary conditions, we demonstrate the need for a robust method establishing the existence of isolated eigenvalues for non-self-adjoint operators possessing both essential and discrete spectrum.
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Krejčiřík, D. \({\mathcal{PT}}\) -Symmetric Waveguides and the Lack of Variational Techniques. Integr. Equ. Oper. Theory 73, 1–2 (2012). https://doi.org/10.1007/s00020-011-1926-8
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DOI: https://doi.org/10.1007/s00020-011-1926-8