非俘获障碍物散射中的透镜刚度
Lens rigidity in scattering by non-trapping obstacles
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。