Lens rigidity in scattering by non-trapping obstacles
classification
🧮 math-ph
math.DGmath.DSmath.MP
keywords
scatteringalmostnon-trappingobstaclessamecoincideconditionsexteriors
read the original abstract
We prove that if two non-trapping obstacles in $\mathbb{R}^n$ satisfy some rather weak non-degeneracy conditions and the scattering rays in their exteriors have (almost) the same travelling times or (almost) the same scattering length spectrum, then they coincide.
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