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arXiv 1709.01692math-phmath.DGmath.DSmath.MP
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非俘获障碍物散射中的透镜刚度

Lens rigidity in scattering by non-trapping obstacles

Luchezar Stoyanov

摘要:

证明了如果$\mathbb{R}^n$中的两个非陷阱障碍物满足较弱的非简并条件,且它们的外表面散射射线具有(几乎)相同的走时或(几乎)相同的散射长度谱,则它们重合.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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