Non-Scattering Energies and Transmission Eigenvalues in Hn

Emilia Blåsten, Esa Vesalainen

    Research output: Contribution to journalArticleScientificpeer-review

    4 Citations (Scopus)


    We consider non-scattering energies and transmission eigenvalues of compactly supported potentials in the hyperbolic spaces H-n. We prove that in H-2 a corner bounded by two hyperbolic lines intersecting at an angle smaller than 180 degrees always scatters, and that one of the lines may be replaced by a horocycle. In higher dimensions, we obtain similar results for corners bounded by hyperbolic hyperplanes intersecting each other pairwise orthogonally, and that one of the hyperplanes may be replaced by a horosphere. The corner scattering results are contrasted by proving discreteness and existence results for the related transmission eigenvalue problems.
    Original languageEnglish
    JournalAnnales Academiae Scientiarum Fennicae. Mathematica
    Issue number1
    Publication statusPublished - 2020
    MoE publication typeA1 Journal article-refereed


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