Strictly convex corners scatter
Abstract
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).
Main Authors
Format
Articles
Research article
Published
2017
Series
Subjects
Publication in research information system
Publisher
European Mathematical Society Publishing House
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201801121168Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
0213-2230
DOI
https://doi.org/10.4171/RMI/975
Language
English
Published in
Revista Matematica Iberoamericana
Citation
- Päivärinta, L., Salo, M., & Vesalainen, E. V. (2017). Strictly convex corners scatter. Revista Matematica Iberoamericana, 33(4), 1369-1396. https://doi.org/10.4171/RMI/975
License
Copyright© 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.