The inverse resonance problem for $\Z_2$-symmetric analytic obstacles in the plane

Details The inverse resonance problem for $\Z_2$-symmetric analytic obstacles in the plane The inverse resonance problem for $\Z_2$-symmetric analytic obstacles in the plane

2002-02-08

arxiv.org/abs/math/0202075v2

Geometric methods in inverse problems and PDE control, 289--321, IMA Vol. Math. Appl., 137, Springer, New York, 2004

Mathematics

Spectral Theory

This is the published version. Despite the date, it is unchanged from March, 2003. 2 figures

Scientific paper

We prove that a two-component mirror-symmetric analytic obstacle in the plane
is determined by its resonance poles among such obstacles. The proof is
essentially the same as in the interior case (part II of the series). A
so-called interior/exterior duality formula is used to simplify the proof. A
fair amount of exposition is included for the sake of completeness.

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