Transmission Eigenvalues for a Class of Non-Compactly Supported Potentials
نویسنده
چکیده
Let Ω ⊆ R be a non-empty open set for which the Sobolev embedding H 0 (Ω) −→ L(Ω) is compact, and let V ∈ L∞(Ω) be a potential taking only positive real values and satisfying the asymptotics V (·) 〈·〉 for some α ∈ ]3,∞[. We establish the discreteness of the set of real transmission eigenvalues for both Schrödinger and Helmholtz scattering with these potentials.
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تاریخ انتشار 2013