JournalsrmiVol. 33, No. 4pp. 1369–1396

Strictly convex corners scatter

  • Lassi Päivärinta

    Tallinn University of Technology, Estonia

  • Mikko Salo

    University of Jyväskylä, Finland

  • Esa V. Vesalainen

    Åbo Akademi University, Finland
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Abstract

We prove the absence of non-scattering energies for potentials in the plane having a corner of angle smaller than . 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, ).

Cite this article

Lassi Päivärinta, Mikko Salo, Esa V. Vesalainen, Strictly convex corners scatter. Rev. Mat. Iberoam. 33 (2017), no. 4, pp. 1369–1396

DOI 10.4171/RMI/975