Authors: Schweizer, Ben
Urban, Maik
Title: On a limiting absorption principle for sesquilinear forms with an application to the Helmholtz equation in a waveguide
Language (ISO): en
Abstract: We prove a limiting absorption principle for sesquilinear forms on Hilbert spaces and apply the abstract result to a Helmholtz equation with radiation condition. The limiting absorption principle is based on a Fredholm alternative. It is applied to Helmholtz-type equations in a truncated waveguide geometry. We analyse a problem with radiation conditions on truncated domains, recently introduced in [4]. We improve the previous results by treating the limit δ→0 .
Issue Date: 2019-04
Appears in Collections:Preprints der Fakultät für Mathematik
Schweizer, Ben Prof. Dr.

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