A new approach to the inverse discrete transmission eigenvalue problem
Spectral Theory
2021-11-01 v1 Analysis of PDEs
Abstract
A discrete analog is considered for the inverse transmission eigenvalue problem, having applications in acoustics. We provide a well-posed inverse problem statement, develop a constructive procedure for solving this problem, prove uniqueness of solution, global solvability, local solvability, and stability. Our approach is based on the reduction of the discrete transmission eigenvalue problem to a linear system with polynomials of the spectral parameter in the boundary condition.
Cite
@article{arxiv.2110.15947,
title = {A new approach to the inverse discrete transmission eigenvalue problem},
author = {Natalia P. Bondarenko and Vjacheslav A. Yurko},
journal= {arXiv preprint arXiv:2110.15947},
year = {2021}
}