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

Lyle Noakes, Luchezar Stoyanov
2015 Proceedings of the American Mathematical Society  
Obstacles K and L in R d (d ≥ 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.
doi:10.1090/s0002-9939-2015-12531-2 fatcat:uwpvf5xzf5auncahmfejfaexva