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Strictly convex corners scatter

    1. [1] Tallinn University of Technology

      Tallinn University of Technology

      Kesklinna linnaosa, Estonia

    2. [2] University of Jyväskylä

      University of Jyväskylä

      Jyväskylä, Finlandia

    3. [3] Åbo Akademi University

      Åbo Akademi University

      Turku, Finlandia

  • Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 4, 2017, págs. 1369-1396
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • We prove the absence of non-scattering energies for potentials in the plane having a corner of angle smaller than π. This extends the earlier result of Blåsten, Päivärinta and Sylvester who considered rectangular corners. In three dimensions, we prove a similar result for any potential with a circular conic corner whose opening angle is outside a countable subset of (0, π).


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