# Rigidity of the scattering length spectrum

@article{Stoyanov2002RigidityOT,
title={Rigidity of the scattering length spectrum},
author={Luchezar Stoyanov},
journal={Mathematische Annalen},
year={2002},
volume={324},
pages={743-771}
}
• L. Stoyanov
• Published 1 December 2002
• Mathematics
• Mathematische Annalen
Abstract. In this paper we consider properties of obstacles satisfying some non-degeneracy conditions that can be recovered from the scattering length spectrum (SLS). Clearly the latter tells us whether the obstacle K is trapping or non-trapping. If the set of trapped points is relatively small, then the SLS also determines the volume of the obstacle, the number of its connected components, and whether its boundary is convex everywhere or it has non-trivial concavities. Under the additional…
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