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Titlebook: Mathematics of Wave Phenomena; Willy Dörfler,Marlis Hochbruck,Birgit Schörkhuber Conference proceedings 2020 Springer Nature Switzerland A

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A Global div-curl-Lemma for Mixed Boundary Conditions in Weak Lipschitz Domains,and normal boundary conditions in bounded weak Lipschitz domains in 3D and weak Lipschitz interfaces. The crucial tools and the core of our arguments are the de Rham complex and Weck’s selection theorem, the essential compact embedding result for Maxwell’s equations.
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On a Limiting Absorption Principle for Sesquilinear Forms with an Application to the Helmholtz Equa 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 [.]. We improve the previous results by treating the limit . → 0.
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Willy Dörfler,Marlis Hochbruck,Birgit SchörkhuberProvides a comprehensive overview of current state-of-the-art by renowned experts.Contains a unique combination of perspectives from analysis, numerics, inverse problems and selected applications.Deal
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https://doi.org/10.1007/978-3-030-47174-3Blow-up; Electromagnetic Waves and Optics; Error Analysis; Finite and Boundary Element Methods; Nonlinea
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978-3-030-47176-7Springer Nature Switzerland AG 2020
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