Inverse resonance problem with partial information on the interval

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题名:	Inverse resonance problem with partial information on the interval
作者:	Lung-Hui Chen;Tzong-Mo Tsai;Chung-Tsun Shieh
关键词:	Resonance;wave scattering;Schrödinger equation;value distribution theory;Faddeev theory
日期:	2021-02-05
上传时间:	2023-04-28 16:23:01 (UTC+8)
出版者:	Taylor and Francis
摘要:	We consider the inverse resonance problem in scattering theory. In one-dimensional setting, the scattering matrix consists of 2×2 entries of meromorphic functions. The resonances are defined as the poles of the meromorphic determinant. For the compactly supported perturbation, we are able to quantitatively estimate the zeros and poles of each meromorphic entry. The size of potential support is connected to the zero density of scattered wave field due to the form of Fourier transform. We will investigate certain properties of Fourier transforms in scattering theory and derive the inverse uniqueness on scattering source given certain knowledge on the perturbation and all the given resonances.
關聯:	Applicable Analysis 101(14), p.4970–4981
DOI:	10.1080/00036811.2021.1877680
显示于类别:	[應用數學與數據科學學系] 期刊論文

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