On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement. II: The non-radial case
DOI10.1515/jiip-2019-0103zbMath1527.65087arXiv1907.01948OpenAlexW4297857898MaRDI QIDQ6112097
Zhi-Qiang Miao, Guang-Hui Zheng
Publication date: 7 July 2023
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.01948
Schrödinger equationmodified Bessel functionNeumann-to-Dirichlet mapinternal potential reconstruction
Numerical optimization and variational techniques (65K10) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs with randomness, stochastic partial differential equations (35R60) Finite difference methods for boundary value problems involving PDEs (65N06) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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