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research
Rigidity of Scattering Lengths and Traveling Times for Disjoint Unions of Convex Bodies
Authors
Lyle Noakes
Luchezar Stoyanov
Publication date
26 February 2014
Publisher
View
on
arXiv
Abstract
Obstacles
K
K
K
and
L
L
L
in
R
d
R^d
R
d
(
d
≥
2
d\geq 2
d
≥
2
) are considered that are finite disjoint unions of strictly convex domains with
C
3
C^3
C
3
boundaries. We show that if
K
K
K
and
L
L
L
have (almost) the same scattering length spectrum, or (almost) the same traveling times, then
K
=
L
K = L
K
=
L
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Last time updated on 30/10/2017