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arXiv 1402.6445math-phmath.DSmath.MP
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凸体不交并的散射律刚度与旅行时

Rigidity of Scattering Lengths and Traveling Times for Disjoint Unions of Convex Bodies

Lyle Noakes, Luchezar Stoyanov

摘要:

$R^d$($d\geq 2$)中的障碍$K$和$L$被认为是具有$C^3$边界的严格凸域的有限不交并。我们证明了如果$K$和$L$具有(几乎)相同的散射长度谱,或(几乎)相同的旅行时间,那么$K = L$。

英文摘要:

Obstacles $K$ and $L$ in $R^d$ ($d\geq 2$) are considered that are finite disjoint unions of strictly convex domains with $C^3$ boundaries. We show that if $K$ and $L$ have (almost) the same scattering length spectrum, or (almost) the same traveling times, then $K = L$.

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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