Strictly convex corners scatter

• Lassi Päivärinta ^[1] ; Mikko Salo ^[2] ; Esa V. Vesalainen ^[3]
  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

     

  Mostrar afiliaciones +
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 4, 2017, págs. 1369-1396
• Idioma: inglés
• DOI: 10.4171/RMI/975
• 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).