Strictly convex corners scatter
Päivärinta, L., Salo, M., & Vesalainen, E. V. (2017). Strictly convex corners scatter. Revista Matematica Iberoamericana, 33 (4), 1369-1396. doi:10.4171/RMI/975
Julkaistu sarjassaRevista Matematica Iberoamericana
© European Mathematical Society, 2017. This is a final draft version of an article whose final and definitive form has been published by European Mathematical Society. Published in this repository with the kind permission of the publisher.
We prove the absence of non-scattering energies for potentials in the plane having a corner of angle smaller than ππ. 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, ππ).