Direct and inverse resonance problems for the massless Dirac operator on the half line-Reference-Cited by-同舟云学术

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Direct and inverse resonance problems for the massless Dirac operator on the half line

Published:2024-03-01 Issue:3 Volume:65 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Xu Xiao-Chuan¹²³^ORCID,Zuo Ting-Ting¹²³

Affiliation:

1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology 1 , Nanjing 210044, Jiangsu, People’s Republic of China

2. Center for Applied Mathematics of Jiangsu Province, Nanjing University of Information 2 , Science and Technology, Jiangsu, Nanjing, China

3. Jiangsu International Joint Laboratory on System Modeling and Data Analysis, Nanjing University of Information Science and Technology, Jiangsu, Nanjing 3 , China

Abstract

For the direct problem, we give the asymptotic distribution of the resonances in the complex plane. For the inverse problem, we prove several uniqueness theorems of recovering the potential on the whole interval from partial resonances and the information of the potential on a subinterval.

Funder

National Natural Science Foundation of China

Publisher

AIP Publishing

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0166326/19847701/031510_1_5.0166326.pdf

Reference30 articles.

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2. Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media;Sov. Phys. JETP,1972

3. Inverse resonance scattering for Dirac operators on the half-line;Anal. Math. Phys.,2021

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