弯曲量子波导的反问题
Inverse Problem for a Curved Quantum Guide
摘要：
本文考虑Rn（n = 2，3）中具有渐近直参考曲线的弯曲量子波导上的Dirichlet Laplacian算子-Δ.我们给出的唯一性结果的反问题与重建的曲率通过使用光谱数据或自举方法的观察。关键词：反问题，量子导，曲率
英文摘要：
In this paper, we consider the Dirichlet Laplacian operator -Δ on a curved quantum guide in R n (n = 2, 3) with an asymptotically straight reference curve. We give uniqueness results for the inverse problem associated to the reconstruction of the curvature by using either observations of spectral data or a boot-strapping method. keywords: Inverse Problem, Quantum Guide, Curvature
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