Rigidity of scattering lengths and travelling times for disjoint unions of strictly convex bodies
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- by Lyle Noakes and Luchezar Stoyanov PDF
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Abstract:
Obstacles $K$ and $L$ in $\mathbb {R}^d$ ($d\geq 2$) are considered that are finite disjoint unions of strictly convex domains with $C^3$ boundaries. We show that if $K$ and $L$ have (almost) the same scattering length spectrum, or (almost) the same travelling times, then $K=L$.References
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Additional Information
- Lyle Noakes
- Affiliation: University of Western Australia, Crawley, Western Australia 6009, Australia
- Email: lyle.noakes@uwa.edu.au
- Luchezar Stoyanov
- Affiliation: University of Western Australia, Crawley, Western Australia 6009, Australia
- MR Author ID: 167870
- Email: luchezar.stoyanov@uwa.edu.au
- Received by editor(s): February 7, 2014
- Received by editor(s) in revised form: April 28, 2014
- Published electronically: March 18, 2015
- Communicated by: Yingfei Yi
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 3879-3893
- MSC (2010): Primary 37D20, 37D40, 53D25, 58J50
- DOI: https://doi.org/10.1090/S0002-9939-2015-12531-2
- MathSciNet review: 3359579