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

Lyle Noakes; Luchezar Stoyanov

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

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

Lyle Noakes, Luchezar Stoyanov

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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Abstract

© 2015, American Mathematical Society. Obstacles K and L in ℝ^d (d ≥ 2) are considered that are finite disjoint unions of strictly convex domains with C³ boundaries. We show that if K and L have (almost) the same scattering length spectrum, or (almost) the same travelling times, then K = L.

Original language	English
Pages (from-to)	3879-3893
Journal	Proceedings of the American Mathematical Society
Volume	143
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9939-2015-12531-2
Publication status	Published - 2015

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abstract = "{\textcopyright} 2015, American Mathematical Society. Obstacles K and L in ℝd (d ≥ 2) are considered that are finite disjoint unions of strictly convex domains with C3 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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AB - © 2015, American Mathematical Society. Obstacles K and L in ℝd (d ≥ 2) are considered that are finite disjoint unions of strictly convex domains with C3 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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DO - 10.1090/S0002-9939-2015-12531-2

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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

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