Wave Support Theorem and Inverse Resonant Uniqueness on the Line

2020/06/03 by Lung-Hui Chen, Chen, Lung-Hui
Mathematics · Physics and Astronomy · #FOS: Mathematics #Nonlinear Photonic Systems #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2006.02465

openalex publication_date 2020/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper, we experimentally study the inverse problem with the resonant scattering determinant. We analyze the structure of characteristics of perturbed linear waves. Assuming there is the common part of potential perturbation propagating along the same strips, we estimate the common part of the perturbed wave, and its Fourier transform. We deduce the partial inverse uniqueness from the Nevanlinna type of representation theorem.

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