Rigidity of scattering lengths and travelling times for disjoint unions of strictly convex bodies

Noakes, Lyle; Stoyanov, Luchezar

doi:10.1090/S0002-9939-2015-12531-2

Rigidity of scattering lengths and travelling times for disjoint unions of strictly convex bodies
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Proc. Amer. Math. Soc. 143 (2015), 3879-3893 Request permission

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 $K=L$.

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