Geometric Structures of Helmholtz’s Transmission Eigenfunctions with General Transmission Conditions and Applications

Huaian Diao () and Hongyu Liu ()
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Huaian Diao: Jilin University
Hongyu Liu: City University of Hong Kong

Chapter Chapter 8 in Spectral Geometry and Inverse Scattering Theory, 2023, pp 199-242 from Springer

Abstract: Abstract Let Ω be a bounded Lipschitz domain in ℝ n $${\mathbb R}^n$$ , n = 2, 3, and V ∈ L∞(Ω) and η ∈ L∞(∂Ω) be possibly complex-valued functions. Consider the following interior transmission eigenvalue problem with a conductive boundary condition for v, w ∈ H1(Ω)

Date: 2023
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DOI: 10.1007/978-3-031-34615-6_8

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